A ladder that is 125 feet long is resting against
the side of a house at an angle of 70 degrees. In
feet, how far up the side of the house does the
ladder reach?
Possible Answers:
166.44
184.51
117.46
109.69
Answer:
Given:
- Length of the ladder = 125 feet
- Angle between the ladder and the ground = 70 degrees
Using the sine function:
Let \(x\) be the distance up the side of the house.
\(\sin(70^\circ) = \frac{x}{125}\)
To find \(x\):
\(x = 125 \times \sin(70^\circ)\)
Calculating this:
\(x \approx 117.46 \, \text{feet}\)