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From the top of a tree, a bird looks down on a field mouse at an angle of depression of 50°. If the field mouse is 40 meters from the base o

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From the top of a tree, a bird looks down on a field mouse at an angle of depression of 50°. If the field mouse is 40 meters from the base of the tree, find the vertical distance from the ground to the bird’s eyes. Round the answer to the nearest tenth.

a.
33.6 m
b.
42.0 m
c.
47.7 m
d.
59.6 m
 Mar 18, 2015

2+0 Answers

 #1
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47.7 m

Consider that the angle of depression is from the horizontal. This means that the angle from the treetop is 90-50 degrees.

Use the tangent or cotangent function to find the tree-field mouse distance.

tangent 40=$$\frac{40m}{x}$$

 Mar 18, 2015
 #2
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0

im pretty stupid

 Nov 30, 2016

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