Saturday

September 20, 2014

September 20, 2014

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

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 10:57pmYou 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...

math - A tower 125 feet high stands on the side of a hill. At a point 240 feet ...

math - A tower 125 feet high stands on the side of a hill. At a point 240 feet ...

math - A tower 125 feet high stands on the side of a hill. At a point 240 feet ...

math - Hello Jiskha-hope you can help me here! A straight road to the top of a ...

maths - A tree stands vertically on a hill side which makes an angle of 15 ...

precalculus - Berry is standing at the edge of a hill that slopes downward and ...

Physics - A 2.0 x 103 kg car is pulled 345 m up a hill that make s an angle of ...

Physics - A 2.0 x 103 kg car is pulled 345 m up a hill that make s an angle of ...

Physics - A 2.0 x 103 kg car is pulled 345 m up a hill that make s an angle of ...