Jonathan sets a camera on a tripod to film birds in a nest. The camera is 1.8 m off the ground and 16.4 m away from the tree. The angle of elevation from the camera to the bird's nest is 29°. How far above the ground is the bird's nest? Round your answer to the nearest tenth of a meter. 7.3 m 9.1 m 10.9 m 14.3 m

Question

Mathematics

Rory Archer

6 March, 18:57

Jonathan sets a camera on a tripod to film birds in a nest. The camera is 1.8 m off the ground and 16.4 m away from the tree. The angle of elevation from the camera to the bird's nest is 29°. How far above the ground is the bird's nest? Round your answer to the nearest tenth of a meter. 7.3 m 9.1 m 10.9 m 14.3 m

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Answers (2)

Know the Answer?

Kaelyn Sparks · Answer 1

Draw a diagram

we need to find the area of the other leg

alright

we have one leg is 16.4

the other one is?

tan (29°) = ?/16.4

16.4tan (29°) = ?

and the height of the nest is?+height of camera=?+1.8

so

16.4tan (29°) + 1.8≈10.8907

so about 10.9m

Angel Wall · Answer 2

Tan29° = (n-1.8) / 16.4

n=16.4tan29°+1.8

n≈10.9 meters (to nearest tenth of a meter)