Trigonometry Basics: Similar Right-Angled Triangles
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Questions and Answers

In a right-angled triangle, if the length of the hypotenuse is 10 units and one of the other sides is 7 units, what is the length of the third side?

√(10²-7²) = √(100-49) = √51 ≈ 7.14 units

If sin(θ) = 7/10, what is the value of cos(θ)?

√(1 - (7/10)²) = √(1 - 0.49) = √0.51 ≈ 0.71

In a right-angled triangle, if the length of the hypotenuse is 10 units and the length of one of the other sides is 3 units, what is the value of tan(θ)?

3/√(10²-3²) = 3/√(100-9) = 3/√91 ≈ 0.33

If cos(θ) = 3/10, what is the value of sin(θ)?

<p>√(1 - (3/10)²) = √(1 - 0.09) = √0.91 ≈ 0.95</p> Signup and view all the answers

In a right-angled triangle, if the length of one side is 7 units and the length of the other side is 3 units, what is the value of θ, correct to the nearest degree?

<p>tan⁻¹(3/7) ≈ 23.2°</p> Signup and view all the answers

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