Posted by **Cyndy** on Tuesday, July 31, 2012 at 10:42pm.

A hill in Colorado makes an angle of 15.0° with the horizontal and has a building at the top. At a point

75.0 feet down the hill from the base of the building, the angle of elevation to the top of the building is

55.0°. What is the height of the building?

A. 84.0 feet

B. 179 feet

C. 31.3 feet

D. 126 feet

- Trigonometry -
**MathMate**, Tuesday, July 31, 2012 at 10:57pm
You will need to draw a diagram of the objects, and be familiar with the trigonometric ratios.

Measuring everything from the point 75' down, the height of the base of the building is

B=75 sin(15°)

The horizontal distance from the base is

H=75cos(15°)

The top of the building is

T=Htan(55°)

The height of the building is the difference between the top and bottom, or

height=T-B

The height as calculated above should agree with one of the four choices.

## Answer This Question

## Related Questions

- Pre-Calculus - 1.The angle of elevation to top of a building from a point on the...
- Trigonometry - a flagpole 25 feet tall stands on a top of a building. from a ...
- Trigonometry - a flagpole 25 feet tall stands on a top of a building. from a ...
- maths - A tree stands vertically on a hill side which makes an angle of 15 ...
- Math - A 100 foot tall antenna sits part way up a hill. The hill makes an angle ...
- trigonometry - a tower 150 meter is situated at the top of the hill.At a point ...
- Trigonometry - A building is 50 feet high. At a distance away from the building...
- Math - A pirate is on a hill looking at a building. The building is 400 feet ...
- Geometry - A hill slopes down from a building with a grade of one for to five ...
- Trigonometry - From a window of one building, the angle of depression to the ...

More Related Questions