You lean a 30 foot ladder against your house and it reaches exactly to the top. The ladder makes a 24˚ angle with the ground. How tall is your house? (Hint: Draw a picture.)

The ladder, the wall and the ground forms a right angle triangle, with the hypotenuse measuring 30 feet.

Rember the relationship SOH CAH TOA.

We have the hypotenuse, so we need to find the opposite which is height of the house.

Apply SOH:

Sin theta = 0pposite/hypotenuse.

Sin 24 = opposite/30 feet.

Opposite = 30 feet x Sin 24 = (30 x 0.40673664) feet = 12.2020992 feet.

So the height of the building is approximately 12.20 feet.

I am working on the diagram.

Just a minute I am getting a good scanner.

Here it is. Sorry for the delay.triangle.pdf

Are you comfortable with that?

Ground distance is adjacent not opposite.

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