trigonometry > 30 degree angle of depression
2006-06-22 05:20:52 · 8 answers · asked by fun2sh 2 in Science & Mathematics ➔ Mathematics
assuming your 30 degree depression is from the normal line of sight, then about 86.6 m (50 * sqrt(3))
2006-06-22 05:28:42 · answer #1 · answered by KHB 2 · 0⤊ 0⤋
How far is he from the edge of the roof?
If he is on the edge, we can form a right triangle between him, the rock and the point where the house meets the ground.
The line between the person and the rock is the hypoteneuse. This means that the adjacent side is 50 meters. We know that the opposite side is the distance between the house and the rock.
We also know that the tangent of thirty degrees is equal to the ratio of the opposite side and the adjacent side.
The tangent of 30 degrees is about 0.5773. This means that the rock is about 28.867 meters from the house.
If he is not at the edge of the roof, then subtract that distance from 28.867 to get the answer.
2006-06-22 23:34:37 · answer #2 · answered by Ranto 7 · 0⤊ 0⤋
tan(30) = x/50 where x is distance from stone to house.
x=28.8675 m
2006-06-22 12:43:27 · answer #3 · answered by mhunt3 1 · 0⤊ 0⤋
I think is 30 metres.
2006-06-22 13:07:09 · answer #4 · answered by Kenneth Koh 5 · 0⤊ 0⤋
About fifty feet?
2006-06-22 12:24:31 · answer #5 · answered by kiseek 3 · 0⤊ 0⤋
dont hav a calc. near but use the pathagreon theorem.
2006-06-22 12:25:02 · answer #6 · answered by jyzerfan 2 · 0⤊ 0⤋
58 feet. it is actually 57.7 feet, but i rounded up. sorry i meant meters not feet. 58 meters
2006-06-22 12:37:17 · answer #7 · answered by boricua82991 3 · 0⤊ 0⤋
Answer is 86.6m
2006-06-22 12:51:32 · answer #8 · answered by collant 1 · 0⤊ 0⤋