Practice Key Theorems In Trigonometry (2) - Theorems in Geometry & Trigonometry

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6 sample questions

Question 1.
What is the sine ratio of a triangle with an opposite side of length 3 and a hypotenuse of length 5?
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Use the sine formula: sin θ = opposite/hypotenuse.
Question 2.
If cos θ = 0.8, what is the sine of θ when θ is a complementary angle?
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Use the Pythagorean identity.
3Question 3.
What is the sine of an angle in a right triangle with a hypotenuse of 10 and an opposite side of 6?
- 0.6
- 0.8
- 0.5
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Remember the formula: sin θ = opposite/hypotenuse.
4Question 4.
True or False: The angle of elevation is the angle formed when looking down from horizontal.
- True
- False
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Consider the definitions of elevation and depression.
Question 5.
A 10 m tall building casts a shadow of 15 m. Find the angle of elevation of the sun.
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Apply tan θ = opposite/adjacent here.
Question 6.
In a right triangle, if angle A is 30° and angle B is 60°, and the hypotenuse is 12, what are the lengths of the opposite and adjacent sides?
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Use sine and cosine definitions for calculations.

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