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Rom4ik
2 months ago
8

Chad casts a shadow that is 14.3 feet long. The straight-line distance from the top of Chad’s head to the end of the shadow crea

tes a 23° angle with the ground. How tall is Chad, to the nearest tenth of a foot?
Mathematics
2 answers:
lawyer [12.5K]2 months ago
8 0

This can be approached using trigonometry. The adjacent side corresponds to the length of the shadow, while the unknown represents the opposite side, which is Chad's height.

Tan (a) = opposite / adjacent

Opposite = tan(23) * 14.3 ft

Thus, the opposite side equals 6.1 ft, which is Chad's height

AnnZ [12.3K]2 months ago
6 0

Result:

6.1

please choose me as brainliest!!

Detailed explanation:

Visualize a right triangle with one leg representing Chad's height and the other being his shadow. The shadow measures 14.3 ft, and since the straight-line measurement from the top of Chad’s head to the shadow's end forms a 23° angle with the ground, you can utilize the trigonometric function

tan23 = Chad's height / Chad's shadow length

tan23 = Chad's height / 14.3

Chad's height = 14.3 * tan23 = 6.1

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