A bird watcher is standing 50 feet from the base of a large tree. The surveyor measures the angle of elevation to a bird on top of the tree as 71.5. How y'all is the tree?

Question

Mathematics

Tabitha Hodges

14 February, 07:02

A bird watcher is standing 50 feet from the base of a large tree. The surveyor measures the angle of elevation to a bird on top of the tree as 71.5. How y'all is the tree?

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Answers (1)

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Demarion Maxwell · Answer 1

149 feet

Step-by-step explanation:

To find this answer, you will use the tangent ratio, tan=opp/adj.

I have a diagram at the end of the problem of what this angle would look like if you want some visuals.

First, you will plug in your given information into the tan ratio.

tan 71.5=x/50

Now, since x is the height of the tree, you need to get x alone. To do that, multiply 50 by both sides.

tan 71.5*50=x

Using your scientific calculator, press the tan sine and enter your tan measurement.

tan 71.5=2.988684963

Now put your new information into the formula and solve.

2.988684963*50=149.4342481

The tree is around 149 feet.