Question

Please help with geometry!

Answer 1

28 ft

Explanation:

First, let's find the tower height.

`(3)/(8) = (10)/(a) \\=> 3a = 80\\=> a = 80/3`

Second, let's find the length of the guy wire with the Pythagoras theorem.

`c = \sqrt{a^(2) + b^(2) } \\c = \sqrt{10^(2) + (80/3)^(2)}\\c = √(100 + 711.11)\\c = √(811.11) \\c = 28.48`

So in conclusion, the length of the guy wire to the nearest foot is 28 ft