Mariela is standing in a building and looking out of a window at a tree. e tree is 20 feet away from Mariela, Mariela's line of sight to the top of the tree creates a 42° angle of elevation, and her line of sight to the base of the tree creates a 31° angle of depression. 42° 20 ft 31° What is the height, in feet, of the tree?

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A: Given information can be depicted in the following figure:

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Q: A radio tower is located 375 feet from a building. From a window in the building, a person…

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A: ∴Height of tower is x+yAM=425 ftIn ∆ADM ;tan40°=x425x=425 x tan 40°∴x=356.617 ft

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.