to measure a stone face carved on the side of a mountain, two sightings feet from the base of the mountain are taken. if the angle of elevation to the bottom of the face is and the angle of elevation to the top is , what is the height of the stone face?

Answers

Answer 1

The stone face is approximately 57.8512 feet in height.

What is the height?

Height is a mathematical term that refers to the vertical distance between an object's top and base.

Sometimes, it has the designation "altitude."

The measurement of an item along the y-axis in coordinate geometry is referred to as height in geometry.

So, let h be the stone's face's height.

One sight is 750 feet away from the mountain's base, and there is a 33° elevation difference between it and the bottom of the face.

The distance between the mountain's base and the base of the stone face

= 750 * tan33°

= 750 * 0.64940759319

= 487.055694898

A different location, which is 36° in elevation and 750 feet from the mountain's base, can be seen from the summit of the face.

The separation between the mountain's base and the top of the stone face = (h + 487.055694898) ft

Now, using trigonometry:

h + 487.055694898/750 = tan36°

h + 487.055694898 = 0.726542525 * 750

h = 544.906896004 - 487.055694898 = 57.8512011059 = 57.8512

Therefore, the stone face is approximately 57.8512 feet in height.

Know more about height here:
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Correct question:
To measure a stone face carved on the side of a​ mountain, two sightings 750 feet from the base of the mountain are taken. if the angle of elevation to the bottom of the face is 33° and the angle of elevation to the top is 3636°​, what is the height of the stone​ face?


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