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Answer» A bird FLYING at a height of 40 ft above the ground.An 8 ft ledge.The top of the ledge is at a 22° angle of depression from the bird.To FIND: How far the bird must fly for it to LAND on the ledge.Answer:(Diagram for reference attached below.) Let's first try and understand the difference between the height at which the bird is flying and the length of the ledge.The 8 ft constitutes a part of the 40 ft. Hence the remaining height will be:40 - 8 = 32 ft.Now, consider Δ ABC.(sin 22° = 0.374 [approx.])THEREFORE, the bird must fly a distance of about 85.56 ft to reach the ledge. |
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