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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

Respuesta :

irspow
tan29°=(n-1.8)/16.4

n=16.4tan29°+1.8

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

apologiabiology
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
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