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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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MissPhiladelphia

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

lilliangraham

Answer:

6.1

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Step-by-step explanation:

Imagine right triangle with first leg to be the Chad length and second leg to be the Chad's shadow. Second leg has length 14.3 ft and since the straight-line distance from the top of Chad’s head to the end of the shadow creates a 23° angle with the ground, you could consider the trigonmetric function

tan23 = chad's length/chads shadow length

tan23 = chad's length/14.3

chad's length = 14.3 * tan23 = 6.1

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