1. You are standing on top of a ridge using a clinometer trying to figure out how far your dog has wandered off in
the valley below
Measure your height from eye level to floor
Choose a measure for angle A between 60° and 80°:
If you know the ridge is 360 inches tall, find the distance your dog is from you based on the angle you chose
Answer (must show all work for credit) Round answer to hundredths place
PLEASE HELP ME!!

Given:

It is given that the ridge is 360 inches tall.

Assumptions:

Assume you are 170.1 cm tall which equals 67 inches tall, the height from your eye to the floor is inches.

The distance from your eye level to the bottom of the ridge is 427 inches.

Assume the angle A is 60°.

To find the distance from you to your dog.

Solution:

A right-angled triangle can be formed where the angle is 60°, the distance between you and the dog is the hypotenuse of the triangle and your height from the floor is the adjacent side of the triangle.

Assume the hypotenuse of the triangle measures x inches.

To determine the length of the hypotenuse, we determine the cos of the angle.

So if the ridge is 360 inches tall and you are 67 inches tall and the angle A is 60°, the distance between your dog and you is 854 inches.