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°.

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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)   (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

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