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)

Question

Mathematics

Aarav Boyd

24 December, 14:41

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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Sanai Vargas · Answer 1

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)