Question

a ladder leans against the sufe of a house. the angle of elevation of the ladder is 70 degrees when the bottom of the ladder is 14ft from the side of the house. find the length of the ladder. round your answer to the nearest tenth.

Answer 1

Explanation:

set the equation up solving for cosine

cos=adjacent/hypotenuse

cos 70°= 14/x

multiply both sides by x

x (cos 70°)= 14

now to get x by itself divide by cosine 70°

x/cos 70°= 14/ cos 70°

x= 14/ cos 70°

solve for x

x= 14/ .34

x= 41.2

i hope thats right, otherwise it is 22.1

Answer 2

Explanation: