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36 votes
24. Bill looks up at an angle of 54 degrees. He is standing 350 feet from the tower.

How tall is the tower?

User Bill Garrison
by
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1 Answer

24 votes
24 votes

Answer: 311.75 feet tall.

Explanation:

To solve this problem, you can use the formula for the tangent of an angle in a right triangle:

tan(angle) = opposite side / adjacent side

In this case, the opposite side is the height of the tower, and the adjacent side is the distance from Bill to the tower.

Substituting these values into the formula and solving for the height of the tower gives:

tan(54) = height of tower / 350

height of tower = 350 * tan(54)

The value of the tangent of an angle can be found using a calculator or lookup table. Plugging in the value for 54 degrees gives us a height for the tower of approximately 311.75 feet.

So the tower is approximately 311.75 feet tall.

hope this helps <3

User Naufraghi
by
3.0k points