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42 votes
42 votes
Rashaad leans a 22-foot ladder against a wall so that it forms an angle of 65° with the ground. How high up the wall does the ladder reach? Round vour answer to the nearest hundredth of a foot if necessary.

User Hryamzik
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3.0k points

2 Answers

18 votes
18 votes

Final answer:

The height up the wall that the ladder reaches is approximately 19.49 feet.

Step-by-step explanation:

To find the height up the wall that the ladder reaches, we can use trigonometry. Since we know the length of the ladder (22 feet) and the angle it makes with the ground (65°), we can use the sine function.

sin(65°) = height of ladder / length of ladder

height of ladder = sin(65°) * length of ladder

height of ladder = sin(65°) * 22 feet

Using a calculator, we find that the height of the ladder reaches approximately 19.49 feet up the wall.

User Narendra Yadala
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2.9k points
12 votes
12 votes

Answer:

19.94

Step-by-step explanation:

User Rejinderi
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3.4k points