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°
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