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

Question

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

campbell_st · Answer

draw a diagram 

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now you need a trig ratio to find the height of the tree

anonymous · Answer

What do you mean trig ratio? Like Sin, Cos and Tan?

anonymous · Answer

I am so confused here, i am supposed to be taking a geometry course but i keep getting problems related to trigonometry and calculus :/

anonymous · Answer

you can use the sin rule

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