Question

(a)In the picture(b)How far is the Base of the ladder from the wall

Answer 1

Answer:

(a)Option A

(b)5 meters

Explanation:

• The length of the ladder = 10 meters

,

• The angle the foot of the ladder makes with the ground = 60°

An illustration of the situation is given below:

This can be presented as a right triangle below:

The correct option is A.

Part B

In our diagram above, the distance from the base of the ladder to the wall is labeled x.

Using trigonometric ratios:

$\begin{gathered} \cos60\degree=\frac{x}{10} \\ x=10\times\cos60 \\ x=10\times0.5 \\ x=5\text{ meters} \end{gathered}$

The base of the ladder is 5 meters from the wall.