Wednesday

August 20, 2014

August 20, 2014

Posted by **Jennifer** on Wednesday, November 11, 2009 at 12:48pm.

- Trig -
**drwls**, Wednesday, November 11, 2009 at 1:15pmGet out a piece of paper and draw the situation. You have two right triangles. Each have two points that are the same (the top and bottom of the bulding), but the third points (where the observer is located) are different. Let H be the height of the building, in feet. Point A is X ft away and point B is A - 600 feet away.

Solve those two simultaneous equations:

H/X = tan 24.1

H/(600-X) = tan 30.2

As a first step in solving them, you can solve for X first, using

(600-X)/X = tan 30.2/tan 24.1 = 1.3011

(I used a calculator for that)

Rewrite as

780.67 = 2.3011 X

X = 339.3 ft

Now use either of the first two equations to solve for H.

- Trig -
**Reiny**, Wednesday, November 11, 2009 at 1:45pmor

look at the non-right-angles triangle, with its top angle at the top of the building.

That top angle can be easily found to be 6.1 degrees. We can find the side coming up from the 30.2 degree angle, call it y

by sine law

y/sin24.1 = 600/sin6.1

y = 2305.56

then in the small right-angled triangle

sin 30.2 = H/y

H = 2305.56sin30.2

= 1159.74

**Related Questions**

Pre-Calculus - 1.The angle of elevation to top of a building from a point on the...

Trig - The angle of elevation to the top of a building from a point on the ...

TRIG Help help help test tommarow - A TV tower stands on top of the Empire State...

Trig - A 60-foot flagpole stands on top of a building. From a point on the ...

Math- Pre calc - A 60 foot antenna stands on top of a building. From a point on ...

Pre-Cal/Trig - Explain how to solve the following question. Surveying: From a ...

Precalculus - To estimate the height of a building, two students find the angle ...

trigonometry - The angle of elevation of the top of a tower to point A on the ...

Trig - From a point 120 feet from the base of a plant building the angle of ...

Pre calculus - From h a point A that is 10 meters abov level ground, the angle ...