Corey spies a bald eagle in a tall tree. He estimates the height of the tree to be 60 feet and the angle of elevation to the bird from where he stands to be 64°. The leaves on the tree make it difficult for Corey to watch the bird, so he takes many steps away from the tree to get a better view. He now estimates his angle of elevation to be 37°. How many feet did Corey step back to gain a better view of the bird? Round your answer to the nearest hundredth of a foot.

Corey stepped back 59.71 feet

Step-by-step explanation:

Right Triangles

They are a special type of triangle where one of its internal angles is 90°. The basic trigonometric equations stand in this type of triangles. If x is the adjacent leg of a given angle , and y is the opposite leg to the same angle, then :

We can solve for x to get

Corey estimates the height of the tree to be 80 feet. This means we know y=80 and . Let's find the horizontal distance at which Corey is looking at the bald eagle:

Now Corey moves back to watch the very same tree at an elevation angle of 41°. The tree has the same height, so

Now we can know the distance Corey walked back by subtracting both distances

correy stepped back 59.71 feet

2.

according to newton’s cannonball model, what happens if the cannonball's velocity is enough to overpower the pull of earth’s gravitystep-by-step explanation:

d? maybe

step-by-step explanation: