SOLUTION: At a certain point in a large, level park, the angle of elevation to the top of an office building is 30°. If you move 400 ft closer to the building, the angle of elevation is 45°.

Algebra ->  Trigonometry-basics -> SOLUTION: At a certain point in a large, level park, the angle of elevation to the top of an office building is 30°. If you move 400 ft closer to the building, the angle of elevation is 45°.      Log On


   

Question 1030097: At a certain point in a large, level park, the angle of elevation to the top of an office building is 30°. If you move 400 ft closer to the building, the angle of elevation is 45°. To the nearest 10 feet, how tall is the building?
Preferably w/o using law of sines or special triangles. Thanks.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!






But



So



Then, using our newly discovered knowledge about :



But



So



I'll let you handle the rest of the algebra and arithmetic. Remember to round to the nearest 10 feet.

John

My calculator said it, I believe it, that settles it