Question

As shown in the diagram below, a ladder 5 feet long liens against a wall and makes an angle of 65° with the ground. Find, to the nearest tenth of a foot, the distance from wall to wall of the base of the I understand it now thank you so much for your assistance.

Answer 1

To find:

The distance from wall to the ladder that is the base.

Given data:

A ladder against a wall = 5 feet long

Lader makes an angle = 65 degree

Now, from the given ladder it is clear that the wall and the ladder makes a right angle triangle.

So, In right right angle triangle we take hypotenues as 5 feet long and base is which we have to find , perpendicular is opposite the angle given.

By using the trigonometric identity we have,

$\cos 65^{\circ}=\frac{base}{hypotenues}$

Here, let base that is foot be 'x' and hypotenues = 5 , cos65 = 0.422

$\begin{gathered} 0.422=\frac{x}{5} \\ x=0.422\times5 \end{gathered}$$x=\text{ 2.11 unit}$

Thus, the base that is distance of wall from ladder is 2.1 unit