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2 years ago

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Dixon and his little sister Ariadne stand next to each other on the playground on a sunny afternoon. Their mother measures their

shadows. Ariadne's shadow is 15 feet long and Dixon's shadow is 18 feet long. If Ariadne is 5 feet tall, how tall is Dixon

1 answer:

saul85 [17]2 years ago

6 0

Dixon's height is 6 ft

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Answer:

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Step-by-step explanation:

In the attached figure

∵ ∠MTN is a right angle

∵ TU is the altitude of the triangle

- There are some rules in this triangle let us revise them

(NT)² = NU . NM
(MT)² = MU . MN
(TU)² = MU . NU
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- Take a square root to both sides

∴ NT = $\sqrt{108}$

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∴ NT = 6 $\sqrt{3}$ units

∵ NT is y

∴ y = 6 $\sqrt{3}$ units

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