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I NEED HELP URGENTLY!!!! 60 POINTS AND BRAINLIEST FOR THE CORRECT FIRST ANSWER!!!!

A man is in a tree house 12 feet above the ground. He is looking at the top of another tree that is 45 feet tall. The bases of the trees are 25 feet apart. What is the angle of elevation from the man's feet to the top of the tree? Round to the nearest degree.


A.) 37°

B.) 41°

C.) 53°

D.) 49°

Respuesta :

wegnerkolmp2741o

Answer:

C.) 53°

Step-by-step explanation:

We have a right triangle with base of 25  (the distance apart) and (45-12 = 33) for the height.  We want to find the angle of elevation.

tan angle = opposite side/ adjacent side

tan angle = 33/25

Take the inverse tan of each side

tan ^-1 (tan angle) = tan ^ -1 (33/25)

angle = 52.8533133

Rounding to the nearest degree

angle = 53 degrees

@wegnerkolmp2741o has a great solution. I'm only posting this to show how the diagram looks. See the attached image below.

Ver imagen jimthompson5910

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