Annie is standing on a canyon floor 20 m from the base of a cliff. Looking through her binoculars, she sees the remains of ancient cliff dwellings in the cliff face. Annie holds her binoculars at eye level, 1.5 m above the ground.
a. Write an equation that relates the angle at which she holds the binoculars to the height above ground of the object she sees. b. The top of the cliff is at an angle of 58° above horizontal when viewed from where Annie is standing. How high is the cliff, to the nearest tenth of a meter?
c. Lower on the cliff, Annie sees ruins at angles of 36° and 40° from the horizontal. How high are the ruins?
d. There is a nest of cliff swallows in the cliff face, 10 m above the canyon floor. At what angle should Annie point her binoculars to observe the nest? Round your answer to the nearest degree