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NeX [460]
1 year ago
11

A 52 foot building casts a shadow that is 48 feet long, At the same time the shadow cast by a nearby statue 18 feet long .

Mathematics
1 answer:
8_murik_8 [283]1 year ago
8 0

Answer: 14 feet

Step-by-step explanation: the difference between the shadow of the building and the building is 4 feet so the difference between the shadow of the statue and the statue is 4 feet so the answer is 14 feet.

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Does anyone know how to do this?
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Answer:

\boxed{\tt x=\sqrt{85} }

Step-by-step explanation:

When making a right triangle with 2 points, the distance is the hypotenuse which can be represent as "x"

To find the distance we can use the Pythagorean theorem.

\boxed{{\tt a^2+b^2=c^2}}

→ \tt a=9

→ \tt b=2

→ \tt c=x

<u>Let's Plug in the side lengths:</u>

  • \tt 9^2+2^2=x^2

<u>Evaluate 9²= </u><u>81</u><u> and 2²= </u><u>4</u><u>:</u>

  • \tt 81+4=x^2

<u>Now, add 81+4= 85</u>

  • \tt 85=x^2

<u>Take the square root of both sides:</u>

  • \tt x=\sqrt{85}

_____________________________

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