A 12 ft. ladder is leaning against a house. The ladder makes a 60° angle with the ground. Use special right triangles to find how far up the building the ladder will reach.

Given:

The length of the ladder  = 12 ft

The angle of ladder with ground = 60 degrees

To find:

How far up the building the ladder will reach.

Solution:

Using the given information draw a figure as shown below.

We need to find the vertical distance between the top of ladder and the ground.

Let x be the required distance.

In a right angle triangle,

In the below triangle ABC,

Multiply both sides by 12.

Therefore, the ladder will reach ft far up the building.

step-by-step explanation:

answers available in this download

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