Question

A ladder 10m in length touches a wall at height of 5m. The angle made by the ladder with the horizontal is?.. with a diagram

Answer 1

Step-by-step explanation:

sinQ = AC/BC

sinQ = 5/10 = 1/2

sinQ = sin30°

Q = 30°

Answer 2

Given:

Length of the ladder=10m

Height at which ladder touches the wall=5m

To find:

The angle made by the ladder with the horizontal

Solution:

The angle made by the ladder with the horizontal is 30°.

We can find the angle by following the process given below-

We know that the angle made by the ladder with the horizontal is also the angle of elevation.

Since the wall and the floor are perpendicular to each other, they form a right-angled triangle with the ladder.

In this triangle, we can determine the angle using trigonometry.

It is given that the length of the ladder=10m

The height at which ladder touches the wall=5m

Let us assume that the angle made with the horizontal is theta.

Now, Sin theta=perpendicular/ Hypotenuse

On putting the values, we get

Sin theta=5/10

Sin theta=1/2

Sin theta=Sin 30°

Theta=30°

The angle of elevation or the angle made by ladder with the horizontal is 30°.

Therefore, the angle made by the ladder with the horizontal is 30°.