A dog is standing 12 feet from a tree looking at a bird in the tree. the angle of elevation from the dog to the bird is 50°. how far above the ground is the bird? round to the nearest tenth of a foot.

Question

Brayden Krueger

Mathematics

8 March, 06:31

A dog is standing 12 feet from a tree looking at a bird in the tree. the angle of elevation from the dog to the bird is 50°. how far above the ground is the bird? round to the nearest tenth of a foot.

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Answers (1)

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Bailee Carrillo · Answer 1

The distance of the bird from the ground will be given by:

tan θ=opposite/adjacent

θ=50°

opposite=h

adjacent=12 ft

plugging in the values in the formula we get:

tan 50=h/12

thus

h=12tan50

h=14.301 ft

=14.3 ft