A fire department's longest ladder is 110 feet, and the maximum height it can be used for is 100 feet. What is the angle that la
dder makes with the ground at the maximum height?
2 answers:
Answer: The angle that the ladder makes with the ground at the maximum height is 65.37 degrees
Step-by-step explanation:
The triangle ABC is formed by the ladder and the wall is shown in the attached photo.
The angle that the ladder makes with the ground at the maximum height is represented as #. To determine #, we will apply trigonometric ratio
Sin # = 0pposite side / hypotenuse.
Hypotenuse = 110
Opposite side = 100
Sin# = 100/110 = 0.909
# = Sin^(-1)0.909
# = 65.37
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