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A 16-foot ladder is placed on an angle against the house with a 15-degree angle to the ground. How high does the ladder reach?

a) The ladder reaches a height of...
b) The ladder's angle to the ground is...
c) To the nearest tenth, the ladder reaches...
d) The ladder's length is...

User Deesarus
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1 Answer

3 votes

Final answer:

The ladder reaches a height of approximately 4.14 feet, has a 15-degree angle to the ground, and reaches a height of 4.1 feet when rounded to the nearest tenth.

Step-by-step explanation:

Given that the ladder is 16 feet long and placed at a 15-degree angle to the ground, we can find the height the ladder reaches using trigonometry.

Using the sine function, we can calculate the height as follows: Height = Ladder length * sin(angle)

Height = 16 ft * sin(15 degrees)

Calculating this, the ladder reaches a height of approximately 4.14 feet.

The ladder's angle to the ground remains 15 degrees.

When rounded to the nearest tenth, the ladder reaches a height of 4.1 feet.

Therefore, the ladder's length is 16 feet.

User Wittrup
by
8.5k points
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