You are visiting a redwood tree forest and want to verify the height of one of the trees. you measure its shadow along the ground and use trig to calculate the height.
the shadow measures 500 feet and you calculate the angle of elevation to be $\footnotesize{35^{\circ}}$. this forms a right triangle.
a. what is the measure of the other acute angle?
b. what is the height of the tree?
c. you are standing at the end of the tree's shadow and want to take a picture of the tree but your camera can only focus at distance less than 500 feet. when you hold the camera to take the picture it is 5 feet above the ground. what is the distance from the end of the shadow to the top of the tree?
d. can you take a clear picture of the top of the tree from where you are standing?

24/56=hx^7

step-by-step explanation:

10 down (bang1)

5 up

5down (2)

2.5 up

2.5 down (3)

1.25 up

1.25 down (4)

now add them up : )

hoped i lol

(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