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The length of the shadow of a building is 150 meters, as shown below: The shadow of a building is 150 meters long. The acute angle that the shadow makes with the line joining the top of the building to the end of the shadow measures 45 degrees. What is the height of the building?

Respuesta :

amirahdaugherty1

in a triangle with 2 45 degree angles and a 90 degree angle, the opposite and the adjacent sides are always equal, making the answer 150m

abidemiokin

The height of the building is 75√2 m

Application of SOH CAH TOA

Given the following parameters

  • Length of the shadow = 150m
  • Acute angle = 45 degrees

According to the SOH CAH TOA identity

sin theta = opp/hyp

sin 45 = opp/150

H = 150sin45

H = 150/√2

H = 75√2 m

Hence the height of the building is 75√2 m

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777

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