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tester [92]
3 years ago
14

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
1 answer:
Elan Coil [88]3 years ago
4 0
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 t<span>he 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
</span>
\tan 23^{\circ}= \dfrac{\text{Chad's length}}{\text{Chad's shadow length}},

then \tan 23^{\circ}= \dfrac{\text{Chad's length}}{14.3}, \\ \text{Chad's length}=14.3\cdot \tan 23^{\circ}=6.1.<span />
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