A cable 20 feet long connects the top of a flagpole to a point on the ground that is 16 feet from the base of the pole. How tall
is the flagpole?(A) 8 ft.(B) 10 ft.(C) 16 ft. (D) 26 ft.
1 answer:
<h2>
Answer:</h2>
The height of the flagpole is: 12 ft.
<h2>
Step-by-step explanation:</h2>
Let the height of the flagpole be: x ft.
Now, we can model this problem with the help of a right angled triangle such that the hypotenuse of the triangle is: 20 feet
and one of the leg of the right triangle is: 16 feet
Now, in order to find the other leg i.e. x we need to use the Pythagorean Theorem.
i.e.

But the height can't be negative.
Hence, we get:

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Acute angles because they are less then 90 degrees which is a right angle.