Question

1) An 18-foot ladder is placed against a house at an angle of elevation of

Answer 1

Answer:

16.4 feet

Step-by-step explanation:

For a right triangle

$sin(x) = \frac{opposite}{hypotenuse}$

Since we know the angle and the hypotenuse, we can calculate the opposite side.

$\sin(66)=\frac{x}{18}$

Multiply each side by 18

$18sin(66)=x$

$x=18sin(66)$  

Calculate sin(66)

$sin(66)=0.914$

$18*0.194=16.4$

16.4 Feet