A building casts a shadow that's 88 meters long on the ground. The straight line distance from the top of the building to the end of the building of the shadow creates is at a 32° angle with the ground. what is the approximate hight of the building (the answer is to be rounded to the nearest meter)

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gooberBOİ gooberBOİ

02-07-2018
Mathematics

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A building casts a shadow that's 88 meters long on the ground. The straight line distance from the top of the building to the end of the building of the shadow creates is at a 32° angle with the ground. what is the approximate hight of the building (the answer is to be rounded to the nearest meter)

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Аноним Аноним · Answer 1 · 2018-07-02T12:32:55+02:00

The triangle formed by the building, its shadow and the line between the end of shadow to top of the building has the following values:-

adjacent side = 88 m, angle of elevation = 32 degrees and we need to find the length of the opposite side ( that is height of the building).

A = 88 , m < elevation = 32 and O = ?

SOH-CAH-TOA - so we need the tan of 32:-

tan 32 = O / 88
O = 88 * tan 32 = 55m to nearest meter ( answer)