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 creates a 23° angle with the ground. How tall is Chad, to the nearest tenth of a foot?

Question

Mathematics

Beard

13 June, 22:29

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 creates a 23° angle with the ground. How tall is Chad, to the nearest tenth of a foot?

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Precious Navarro · Answer 1

This can be solve using trigonometric function. since the given side is the adjecent of the angle which is length of the shadow and the unknown is the side opposite the angle, which is the height of chad.

Tan (a) = opposite / adjacent

Opposite = tan (23) * 14.3 ft

Opposite = 6.1 ft is the hieght of Chad