Question

Calculate the angle that the ladder makes with the ground using a trigonometric ratio.

Answer 1

Answer:

When a ladder is placed on a wall it forms a right angled triangle.

The lengths are as follows :

The base = Distance between the ladder and the wall.

Hypotenuse =The ladder

The height = the wall.

Since we have the hypotenuse and the distance between the ladder and the wall we can use Trigonometric ratios.

In this case we will use the Cosine since we have the hypotenuse and the adjacent side.

Let the angle be O.

Therefore :

Cos O = adjacent / hypotenuse

Cos O = 1/4.5 = 0.2222

O = Cos inverse of 0.2222

O = 85.73°

The angle that the ladder makes with the ground is thus :

85.73°

Step-by-step explanation:

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