Sunday

April 20, 2014

April 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.

**Related Questions**

Physics - A skier is traveling at a speed of 36.2 m/s when she reaches the base ...

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

trigonometry - two points, A and B, are 526 meters apart on a level strecth of ...

physics - A truck is traveling at 12 m/s down a hill when the brakes on all four...

physics l - A hill that has a 15 % grade is one that rises 15.0 m vertically for...

physics - Marks: 5 A hill that has a 15 % grade is one that rises 15.0 m ...

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

Trigonometry Multiple Choice Question please help! - Viola drives 200 meters up ...

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 ...