You are looking at the top of a tree. The angle of elevation is 66 degrees. The distance from the top of the tree to your position is 108 feet. If you are a 5.75 feet tall, how tall is the tree (round to the nearest hundredth)

Step-by-step explanation:

A right angle triangle is formed. The distance from the top of the tree to your position represents the hypotenuse of the right angle triangle. The height of the tree represents the opposite side of the right angle triangle.

The height of the tree from the ground is the sum of the length of the opposite side and your height.

To determine the length of the opposite side, h, we would apply the Sine trigonometric ratio.

Sinθ = opposite side/hypotenuse Therefore,

Sin 66 = h/108

h = 108Sin66 = 108 × 0.9135

h = 98.66

Therefore, height of tree is

98.66 + 5.75 = 104.41 feet

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

95.03 is the answer. hope this !