SOLUTION: If an observer is 600 feet from a building and the angle of elevation to the top of a building is 20 degrees, what is the height of the building? Round to the nearest tenth, if nee
Algebra.Com
Question 959560: If an observer is 600 feet from a building and the angle of elevation to the top of a building is 20 degrees, what is the height of the building? Round to the nearest tenth, if needed.
I'm having a really hard time with this one. I'm guessing the angle from the base of the building to the top is a 90 degree angle but I'm not completely sure since one of the angles is 20 degrees. I'm very confused. Thanks for the help!
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
You are correct, this is a right triangle 90, 20, 70
note that the tangent trig function is defined as opposite side divided by the adjacent side of the formed triangle
for this problem we know the adjacent side is 600 feet and the angle is 20 degrees, therefore
tan(20) = opposite side (height of building) / 600 and
opposite side (height of building) = tan(20)*600 = 218.38214056
the height of the building is approx 218.4 feet
RELATED QUESTIONS
someone show me how to solve this?? If an observer is 200ft from a building and the angle (answered by stanbon)
An observer on the ground is 500ft from a building 60ft tall. What is the angle of... (answered by Cromlix)
The angle of elevtion from an observer on the street to the top of a building is 55.6... (answered by stanbon)
A building is 50 feet high. At a distance away from the building, an observer notices... (answered by Theo)
From a point on the ground 160 metres from the base of a building, an observer finds that (answered by ikleyn)
A building is 50 feet high. At a distance away from the building, an observer notices... (answered by ikleyn)
From a point on the ground 500 feet from the base of a building, it is observed that the... (answered by ankor@dixie-net.com)
An observer stands 150 ft. away from a building. His eye level is 6 ft above the ground.... (answered by josgarithmetic)
A person is standing 400m from the base of a building that has a flag pole on top. If the (answered by edjones)