Melissa is standing 40 ft from a tree. the angle of elevation from where she is standing on the ground to the top of the tree is 50°. how tall is the tree?

 Height of a tree is 47.67 feet.

Step-by-step explanation:

Since we have given that

Melissa is standing 40 ft away from the tree,

The angle of elevation from where she is standing on the ground to the top of the tree is

so, the figure shown below:

In ΔABC,

Hence, Height of a tree is 47.67 feet.

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step-by-step explanation:

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~courtney

(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