185,005 views
5 votes
5 votes
If a 30-foot silo casts a 20-foot shadow, what is the approximate measure from the tip of the shadow to the top of the silo?

650 feet
1,300 feet
13 feet
36 feet

User Greenish
by
2.5k points

2 Answers

15 votes
15 votes

Answer:

36 feet is ur answer

Explanation:

Hope this helps

User Sanjeev S
by
2.5k points
13 votes
13 votes

9514 1404 393

Answer:

(d) 36 feet

Explanation:

Use your sense of geometry.

The hypotenuse of a right triangle will never be less than the longest side, and will never be greater than 1.5 times the longest side*.

That means the only reasonable answer choices will be between 30 and 45 feet. There is only one such choice.

The measure is about 36 feet.

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If you like, you can find a more exact value using the Pythagorean theorem. The distance d of interest is ...

d^2 = 20^2 +30^2 = 1300

d = √1300 = 10√13 ≈ 36.0555 ≈ 36 . . . feet

_____

* The longest hypotenuse will be √2 ≈ 1.4142 times the longest right triangle leg when the two legs are equal length.

User Rupali
by
2.8k points
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