Question

Cayden leans a 30 foot ladder against a wall so that it forms a 65 degree angle with the ground. How high up the wall does the ladder reach?

Answer 1

Step 1

Draw the diagrammatic representation of the question.

Step 2

Find the value of x the height of the wall up to the ladder using a trigonometric ratio.

`\begin{gathered} \text{Soh} \\ \text{written as} \\ \sin 65=\frac{opposite(o)}{\text{Hypothenuse(h)}} \end{gathered}`

Where

opposite = x

Hypothenuse = 30ft

`\begin{gathered} \sin 65=(x)/(30) \\ x\text{ =27.18923361ft} \\ x\approx27.19ft\text{ to the nearest hundredths} \end{gathered}`