Question

Please help with geometry!

Answer 1

Answer:

28 ft

Step-by-step explanation:

First, let's find the tower height.

$\frac{3}{8} = \frac{10}{a} \\=> 3a = 80\\=> a = 80/3$

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

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

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