Question

A 13-A ladder leans against the side of a house. The bottom of the ladder is 8 ft from the side of the house. How high is the top of the ladder from the ground?
If necessary, round your answer to the nearest tenth.
13
8

Answer 1

Answer:

10.2 ft

Step-by-step explanation:

$a^{2} +b^{2} = c^{2} \\8^{2} +b^{2} =13^{2}$

64 + $b^{2}$ = 169

$b^{2} = 105$

b=$\sqrt{105}$

b= 10.2469