26.6 ft is the length of the ladder.
What is sin θ?
Looking out from a vertex with angle θ, sin(θ) is the ratio of the opposite side to the hypotenuse.
According to question, A ladder leans against a building. The angle of elevation of the ladder is 70°. The top of the ladder is 25 ft from the ground.
Length of the ladder [tex]l[/tex] can be found by using
[tex]25=l sin70[/tex]°
⇒[tex]l=\frac{25}{0.9397} =26.6[/tex][tex]ft[/tex]
Hence, 26.6 ft is the length of the ladder.
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Answer:
9.1 ft
Step-by-step explanation:
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