Question

A dog is standing 5 feet from the base of a tree, looking up at a cat that has climbed 16 feet up the tree. What is the angle of elevation from the point the dog is standing on the ground to the cat?

Answer 1

Answer:

x=72.6

Step-by-step explanation:

use inverse trig because your finding a missing angle. use tan because you haved opp/adj

tan-1=(16/5)

x=tan-1(16/5)

*use a calculator

x=72.6

Answer 2

The the angle of elevation from the point the dog is standing on the ground to the cat is 72.6 degrees

We have given that a dog is standing 5 feet from the base of a tree, looking up at a cat that has climbed 16 feet up the tree

We have to find the angle of elevation

We can see in a figure.

What is the angle of elevation?

The angle between the horizontal line of sight and the object.

use inverse trig because we are finding a missing angle.

use tan because we have given height of tree (one side) and a distance between dog and tree(second side)

$tab(\theta)}= opp/adj$

Apply $tan^-1$ on both side we get,

$\theta=tan-1(16/5)$

$\theta=tan-1(16/5)$

$\theta=72.6$

Therefore,the the angle of elevation from the point the dog is standing on the ground to the cat is 72.6 degrees

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