PLEASE!!!!!!Use the diagram and complete the steps to find the measure of the angle of depression from the top of the hoop to Lisa.The length of the shortest leg of the right triangle that is formed is __ feet.The angle of depression from the hoop to Lisa is ____ (congruent, complementary, supplementary) to the angle of elevation from Lisa’s line of sight to the hoop.Because the lengths of the opposite and adjacent sides are known, use the ___ (inverse sine, inverse cosine, inverse tangent) function.The angle of depression, rounded to the nearest degree, is approximately __(19, 21, 71) degrees.
Accepted Solution
A:
3.5 ft, Congruent, Inverse Tangent, 19. To find the shortest length we subtract 5 from 8.5 to get 3.5 feet.
Alternate interior angles between two parallel lines of sight are congruent by definition.
The sides used are opposite and adjacent to the angle observed (theta) which is tangent(theta) = opposite/adjacent
Plugging in inverse tangent(3.5/10) = 19.29 or 19.