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Right triangle with a tree, base 47, angle 35°, height x.

A right triangle with a tree labeled as height x, base 47 units, and angle 35 degrees at point A.

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Show Answer Key & Explanations Step-by-step solution for: Trigonometry Word Problems Practice - MathBitsNotebook(Geo)

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- The triangle is a right triangle with the right angle at C.
- The side adjacent to the 35° angle is AC, with length 47.
- The side opposite the 35° angle is BC, labeled x.
- Use the tangent function: tan(θ) = opposite / adjacent.
- So, tan(35°) = x / 47.
- Multiply both sides by 47: x = 47 * tan(35°).
- Calculate: tan(35°) ≈ 0.7002.
- Therefore, x ≈ 47 * 0.7002 ≈ 32.91.
- Round to two decimal places: x ≈ 32.91.

Parent Tip: Review the logic above to help your child master the concept of trigonometry word problems worksheet with answers.

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