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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.

 Dec 14, 2018

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.

 Dec 14, 2018

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

 Dec 14, 2018

Thanks, Echofire     !!!



cool cool cool

CPhill  Dec 14, 2018

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

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




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


tan-1 ( 38/63) = x  ≈  35.64°



cool cool cool

CPhill  Dec 14, 2018

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