isabell is standont at the top of a waterslide that leads to a pool below. the angel of depression from the top of the slide to the pool is 26.67 and the slide is 33 feet long how far is the top of the slide from the ground

19 feet

Explanation:

We are given that

Angle of depression from the top to the pool,=20.81 degree

Length of slide=53 ft

We have to find the distance of top from the ground.

In triangle ABC

AC=53 feet

Using the formula

Hence, the distance of the top of the slide from the ground=19 feet

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240