Answered

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10. A 50-ft ladder leans against a building so that the base of the ladder is 15 feet from the
building. What angle does the ladder make with the building?

Sagot :

akposevictor

By applying the trigonometry ratio, SOH, the angle that the ladder makes with the building is calculated as: 17.5°

Recall:

  • Trigonometry ratios that can be used to solve a right triangle are: SOH CAH TOA.
  • SOH represents: sin ∅ = Opp/Hyp
  • CAH represents: cos ∅ = Adj/Hyp
  • TOA represents: tan ∅ = Opp/Adj

The diagram attached below depicts the problem given.

∅ = x

Opp = 15 ft

Hyp = 50 ft

  • Thus, applying the trigonometry ratio, SOH, we have:

sin x = 15/50

x = [tex]sin^{-1}(15/50)[/tex]

x = 17.5°

In conclusion, by applying the trigonometry ratio, SOH, the angle that the ladder makes with the building is calculated as: 17.5°

Learn more about trigonometry ratio on:

https://brainly.com/question/4326804

View image akposevictor
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