1.6-metre tall man stands 11 m from the base of a tree. He views the top of the tree at an
angle of elevation of 58°. How tall is the tree?

Answers

Answer 1

Answer:

17.60m

Step-by-step explanation

The set up is a right angled triangle

Given

angle of elevation = 58°

Distance of the man from the tree = adjacent = 11m

Required

Height of the tree h (Opposite)

Using the TOA identity

tan theta = opposite/adjacent

tan 58 = h/11

h = 11tan58

h = 11(1.6)

h = 17.60

Hence the tree is 17.60m tall


Related Questions

I need help fast thank you!!

Answers

Answer: hypotenuse is 37

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

The scale on a road map indicates that 2 inches = 30 miles. How many inches would represent 120 miles on this road map?

Answers

Answer:

8 inches = 120 miles

Step-by-step explanation:

If 2 inches is equivalent to 30 miles, then divide 120 by 30 then times the answer by two.

120 / 30 = 4

4 x 2 = 8

8 inches = 120 miles

To check;

30 x 4 = 120

8 / 2 = 4

Hope this helps!!!

Answer:

The answer is 8in.

Step-by-step explanation:

Calculated 120/30




55°
Find the measure of each angle indicated.
70°

Answers

Answer:

60

Step-by-step explanation:

The new price of the plane ticket

Answers

Answer:

159.25

Step-by-step explanation:

175 multiplied by 6% is 10.5

If you subtract 10.5 from 175 you will get 164.5

Answer:

100 - 6 = 94

175/100*94 = 164.50

new price = £164.50

Is 2x + 3 + 7x equivalent to the expression 3(3x + 1) ?

Answers

Answer:

Yes

Step-by-step explanation:

3(3x+1) = 9x+3

2x+3+7x = 9x+3

Daniel read 1/3 of a book in the morning, and he read some more at night. By the end of the day, he still had 2/5 of the book left to read. How much of the book did Daniel read at night?

Answers

Answer:amount read at night =4/15

Step-by-step explanation:

Step 1

Since we are dealing with fractions,

Let Total amount of book contained  to read = 1 whole

Therefore

Amount read  in the morning +  amount read at night +amount remaining = Total amount of book contained  to read which gves us the equation

1/3 + x + 2/5 = 1

Step 2 --- solving

1/3 + x + 2/5 = 1

1/3 + 2/5 + x= 1

5 + 6 / 15  + x = 1

11/15 + x= 1

x= 1 - 11/15

15/15 - 11/15

x =  amount read at night =4/15

The cost for the company to ship the boxes varies indirectly with the number of boxes being shipped. If 25 boxes are shipped at once, the cost will be $10 per box.

Answers

25 times 10 is $250 to ship all 25 boxes hope this is the answer you were looking for srry if not

Which number represents the BASE?
42=16
A. 4
B. 2
C. 16

Answers

Answer:

2

Step-by-step explanation:

I WILL GIVE YOU BRAINLY PLSS


There are 256 vehicles in a car dealership’s lot. At least 113 of them are hybrid
vehicles. Which inequality describes how many vehicles, at most, are not hybrid?
A. ≤ 143
B. 143
D. ≥ 143


PLSS SHOW YOUR WORK PLSS

Answers

Answer:

B

Step-by-step explanation:

you can't have 143

but you also have toe have less

so < 143

Answer:

≤143

Step-by-step explanation:

At most means no more than, so it would be less than or equal to.

I need help please and thank you ​

Answers

the answer is c
have a good day

2) translation: 1 unit right and 2 units down

Answers

its pretty much as it says move each point 1 unit to the right and 2 down so
I :-4,-5
T : -4,-3
E : 0,-3

If the temperature is 77 F what is it in Celsius

Answers

Answer:

25 degrees celcius

Step-by-step explanation:

Which choices are equivalent to the fraction below? Check all that apply. 16\20​

Answers

16/20 we can divide it by 2 =8/10 or 4/5

Answer:

To write 16.20 as a fraction you have to write 16.20 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number. 16.20 = 16.20/1 = 162/10 And finally we have:

Step-by-step explanation:

hope it work for you.

is 315/8 rational or irrational

Answers

Answer:

315/8 GIVES 39.375. But 35.375 Is actually a rational number, because it is terminating after 3 decimal places.

Step-by-step explanation:

Answer:

315/8 is rational.

Step-by-step explanation:

It is rational because 315/8 = 39.375. But 35.375 Is actually a rational number because it is terminating after 3 decimal places.

which of the following expressions have the greatest value

Answers

Answer:

the Answer is D

Step-by-step explanation:

the answer is 2^5 (D) mate

Find the slope of the line through (3, -4) and (5, 4). Be sure to simplify completely.

Answers

Answer: 4

Step-by-step explanation: (3,-4) (5,4)

4-(-4)= 8

5-3= 2

Divide both numerator and denominator by 2

The slope is 4

The graph shows the linear relationship between the total sales and the amount of items purchased from the local Dollar Store
Which equation best represents the relationship shown in the graph?

Answers

Answer: Y=2x+1
Explanation: The coordinates (1,3) can fit into this- 3=2(1)+1. It fits for all of the coordinates if that makes sense. Like if you fill in the x, and y it is equal. Feel free to comment questions!

Answer:

A.   Y= 2x+1

Step-by-step explanation:

The reason for this is if you use the formula Y=Mx+ b it will help you solve this question so lets say you take the points (3,1) Where the 3 is the Y value  and the 1 is the X value, so now you would show your work starting by labeling the (3,1) points and label them as their value, then write your formula Y=Mx+ b and then replace those values as 3=2(1)+1 and that equals 3.

289.08 divided by 4 .......?

Answers

Answer:

72.27

Step-by-step explanation:

Answer:

72.27

Step-by-step explanation:

that's what I got on the calculator.

The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?

Answers

Answer:

There are two possible solutions for [tex]g(x)[/tex]:

[tex]g(x) = (x+3)^{2}-5[/tex]

[tex]g(x) = x^{2}-3\cdot x +4[/tex]

Step-by-step explanation:

From statement, we understand that [tex]g(x)[/tex] is defined by the following operation:

[tex]g(x) = f(x) +5[/tex] (1)

If we know that [tex]f(x) = (x+3)^{2}-10[/tex], then [tex]g(x)[/tex] is defined by:

[tex]g(x) = (x+3)^{2}-10+5[/tex]

[tex]g(x) = (x+3)^{2}-5[/tex]

[tex]g(x) = x^{2}-3\cdot x + 9 -5[/tex]

[tex]g(x) = x^{2}-3\cdot x +4[/tex]

Answer:

There are two possible solutions

Step-by-step explanation:

HELLPPP

2. If the temperature is given by the equation y= 5x + 50, how would you describe what is
happening to the temperature?

Answers

Answer:

Step-by-step explanation:

The temperature starts at 50 and increases because the slope is positive.

PLEASE HELP!!
Graph the line with the equation

Answers

Answer:

Step-by-step explanation:

If you rolled a dice 24 times, how many times
would you expect to roll a 5?

Answers

I think your expected to roll the number 5 approximately 4 times out of the 26 time the dice was rolled.

Anthony scored 28 points in a recent basketball game. He made a total of 12 baskets. How many 2 and 3 point shots did he make? (Consider only the 2 and 3 point shots: no free throws)

Answers

Answer:

8 2-point shots and 4 3-point shots

Step-by-step explanation:

Anthony scored 28 points with 12 baskets. Saying that, (with x-y representing 2 point shots-3 point shots) any combination with a supermajority (at least 75% of) of either shot is out. This leaves just 5 possible combinations. 8-4, 7-5, 6-6, 5-7, and 4-8. Multiply the first number by 2 and the second by 3.

(4 * 2) + (8 * 3) = 8 + 24 = 32 points, so no.

(5 * 2) + (7 * 3) = 10 + 21 = 31 points, so no.

(6 * 2) + (6 * 3) = 12 + 18 = 30 points, so no.

(7 * 2) + (5 * 3) = 14 + 15 = 29 points, so no as well.

(8 * 2) + (4 * 3) = 16 + 12 = 28 points, so this is the combination we're looking for.

PLEASE PLEASE PLEASE HELP

Answers

Answer:

The answer is 21

Step-by-step explanation:

cu = -3( 5, -12)

= -15 + 36

= 21

John hit a golf ball from the ground and it followed the projectile h(t)=-16t²+100t+0, where is the time in seconds, and ℎ is the height of the ball. Use the quadratic formula to solve the two roots. These represent the 2 times that the ball is on the ground. At what time does the golf ball land? What is the max height of the golf ball? At what time (t) is the golf ball at the maximum height?

Answers

Answer:

The maximum height of the golf ball h(t) = 156.25m

The maximum height of the golf ball at  t = 3.125 seconds

Step-by-step explanation:

Step(i):-

Given

                 h(t)=-16t²+100t   ...(i)

Differentiating equation (i) with respective to 't'

              [tex]\frac{dh}{dt} = -16(2t) + 100 (1)[/tex]

              -32t + 100 =0

            ⇒ -32 t = -100

           [tex]t = \frac{100}{32} = \frac{25}{8} = 3.125[/tex]  

         t = 3.125 > 0

Step(ii):-

 Given h(t) = -16t²+100t  = 0

t ( -16 t + 100 ) =0

t =0 and  -16t = -100

t =0 and  t = 6.25

Step(iii):-

             h(t) = -16t²+100t ...(i)

put t=0  in equation (i)

           h(0) = 0

put t = 3.125 in equation (i)

h(t) = -16(3.125)²+100(3.125)

         h (t) =  156.25

Put t = 6.25

h(t) = -16(6.25)²+100(6.25)

    = 0

The maximum value h(t) = 156.25 at 3.125

final answer:-

The maximum height of the golf ball h(t) = 156.25m

The maximum height of the golf ball at  t = 3.125 seconds

A submarine rises to the ocean's surface at 720 feet in 6 minutes. Find the points submarine's change in elevation per minute.

Answers

Answer:

The submarine gains 120 feet of elevation per minute.

Step-by-step explanation:

7 ¾ - 1 2/7 - 3/2 = ?????????????????????

Answers

Answer:

31/8 = 3 7/8 = 3.875

Step-by-step explanation:

7 3/4 /2 = 31/8 = 3 7/8 = 3.875

A cylinder has a diameter of 7 and height of 10.4 . What is its total surface area to two decimal places

Answers

Answer:

305.68

Step-by-step explanation:

π = 3.14(aka pi)

d=diameter

h=height

^=exponent

The formula for doing this types of problem is 2π d/2h + 2π(d/2)^2. So all you do is fill in the diameter and height of the variable.

2π 7/2(10.4) + 2π(7/2)^2=305.68

Hope this was helpful, if not deeply sorry, I'm only in 7th grade...

Prove the Isosceles Triangle Theorem as a paragraph proof.

Answers

Answer:

Reflexive Property

SAS

<C

Solving systems of equation using elimination
1)2x+2y = 8
x – 2y = 4

2)x+y=8
x-y=4

3)2x+2y=4
x-y=4

4)2x+2y=4
x-y=4

5)x+2y=8
x+3y=4


I need the answer for each problem. Please help is due in 30 minutes!

Answers

Answer:

2x+2y = 8

x – 2y = 4

3x=12

x=12/3=4

x=4

2x+2y=8

2(4) + 2y = 8

8+2y = 8

2y=8-8

2y=0

y=0/2=0

2(4)+2(0)=8

8+0=8

x+y=8

x-y=4

2x=12

x=12/2=6

6+y=8

y=8-6=2

6+2=8

2x+2y=4

x-y=4

2x+2y=4

2(x-y=4)

2x+2y=4

2x-2y=8

4x=12

x=12/4=3

2(3)+2y=4

6+2y=4

2y=4-6

2y=-2

y=-2/2=-1

2(3)+2(-1)=4

6+-2=4

x+2y=8

-(x+3y=4)

x+2y=8

-x-3y=-4

-1y=4

y=4/-1=-4

x+2(-4)=8

x+-8=8

x=8+8=16

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