Question

this sliding board as shown is 15 feet long and meets the ground at a 40 degree angle. what is the height of the ladder to the nearest tenth?sin 40 degrees= 0.6428cos 40 degrees= 0.7660

Answer 1

Imagine the situation described as a triangle.

They are asking to find the height h, to do this, you can use the sine and the length of the sliding board.

$\begin{gathered} \sin 40=\frac{h}{15} \\ \sin 40\cdot15=h \\ 0.6428\cdot15=h \\ h=9.642\approx9.6 \end{gathered}$

The height of the ladder is 9.6 feet.