reidchrisboy2444 reidchrisboy2444
  • 08-03-2021
  • Mathematics
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A 26 ft. Ladder is placed against a building with the base of the ladder 8ft away from the building. What angle does the ladder make with the building?

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fichoh
fichoh fichoh
  • 09-03-2021

Answer:

θ = 13.3°

Step-by-step explanation:

Given that :

Height of ladder = 26 ft

Distance between base and wall of building = 6 feets

To obtain the angle θ ;

Using Pythagoras rule :

Sinθ = opposite / hypotenus

Opposite = 6feets

Hypotenus = 26 feets

Sinθ = 6 /26

Sinθ = 0.2307692

θ = sin^-1(0.2307692)

θ = 13.342363

θ = 13.3°

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