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SOH CAH TOA TRIG RATIOS

SOH CAH TOA TRIG RATIOS-example-1
User Anastatia
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1 Answer

5 votes

Answer:

HI: 57.4 cm; KM: 0.4 mil

Explanation:

Question 17:

ΔGHI is a right-angled triangle

where:

Side GI = Hypotenuse

α = 55°

With respect to 55° angle:

Side HI = Adjacent side


Trigonometric function used: Cosα (CAH)

Cos55° =
(Side HI)/(100cm)

Cross-multiplication is applied:

Side HI = (Cos55°)×(100 cm)

Side HI = 57.4 cm (Rounded to 3 significant figures)

Question 18:

ΔKLM is a right-angled triangle

where:

Side KL = Hypotenuse

β = 27°

With respect to 27° angle:

Side KM = Opposite side


Trigonometric function used: Sinβ (SOH)

Sin27° =
(Side KM)/(0.8 mil)

Cross-multiplication is applied:

Side KM = (Sin27°)×(0.8 mil)

Side KM = 0.4 cm (Rounded to 1 decimal places)

User Hillary Sanders
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