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A utility pole is 38 ft tall. The pole creates a 53 ft shadow. What is the angle of elevation of the sun? Round your answer to the nearest degree. Show your work.

Johnnyboy Dec 14, 2018

#1**-2 **

ok so I first tried solving for the bottom angle and I used the formula tanx=b/a

which means tanx= 7.2/14.6

that gave me x=.45

so I subtracted 45 and 90(because its right triangle) from 180 and I got 45. So maybe x=45 degrees but Im not to sure.

Calcstudent850 Dec 14, 2018

#2**+8 **

1.) A calculator is useful in this question

tan xº = \({ {opposite} \over adjacent}{}{}\)

xº = tan^{-1}(\({ {14.6} \over 7.2}{}{}\))

xº = 63.7

2.) Use the same process as question one with a calculator

echofire18 Dec 14, 2018

#4**+1 **

thank you but i dont know how to properly use the calculator i think i keep messing up the order cause i cant mimick the correct answers

Johnnyboy
Dec 14, 2018

#5**+3 **

We know the opposite side to the angle and the adjacent side

Make SURE that your calculator is set to DEGREE mode [ that may be your problem ]

So....the trig function that relates opp/ adj is the tangent

So

tan x = ( 38/ 53) take the tangent inverse to find the angle

tan^{-1} ( 38/63) = x ≈ 35.64°

CPhill
Dec 14, 2018