Josee wanted to measure the depth of the sink hole that opened on Amelia Avenue this morning. She measured the angle of depression to the lowest point to be 35°. She also measured the distance across the sinkhole to be 38 feet. Assuming the deepest point to be in the exact middle of the sinkhole, how deep is the sinkhole?
+129840 Josee wanted to measure the depth of the sink hole that opened on Amelia Avenue this morning. She measured the angle of depression to the lowest point to be 35°. She also measured the distance across the sinkhole to be 38 feet. Assuming the deepest point to be in the exact middle of the sinkhole, how deep is the sinkhole?
Since the deepest part is in the middle.....this is 19 ft from one edge of the sinkhole
We can use the tangent for this....
tan (35°) = d / 19 where d is the depth of the sinkhole.......rearrange as....
19 * tan (35°) = d ≈ 13.3 ft
