xandraeden32
27.02.2021 •
Mathematics
A 12 foot ladder leans against a building seven feet above the ground. At what height would an 15 foot ladder touch the building if both ladders form the same angle with the ground?
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Ответ:
8.75 feet
Step-by-step explanation:
Given that a 12 foot ladder leans against a building seven feet above the ground.
By using trigonometry ratio, the angle between the ladder and the ground will be
SinØ = opposite/ hypothenus
SinØ = 7 / 12
SinØ = 0.58333
Ø = Sin^-1(0.58333)
Ø = 35.69 degree
At what height would an 15 foot ladder touch the building if both ladders form the same angle with the ground?
Using the same trigonometric ratios
SinØ = opposite/hypothenus
Sin 35.69 = opposite/ 15
Cross multiply
Opposite = 15 × sin 35.69
Opposite = 8.75 feet
Therefore, the ladder will touch the building if both ladders form the same angle with the ground at height 8.75 feet.
Ответ:
a = 1.41421 = √2
Step-by-step explanation: