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Trigonometry word problem showing a building with a 60-degree angle of elevation from a point 50 meters away.

Right triangle diagram illustrating a trigonometry word problem where a building's height is calculated using a 60-degree angle of elevation and a 50-meter horizontal distance.

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Show Answer Key & Explanations Step-by-step solution for: Trigonometry Word Problems with Solutions by tutor pace - Issuu

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- Identify the known values: The adjacent side (BC) is 50 m, and the angle of elevation at point C is 60 degrees.
- Use the tangent function, which relates the opposite side to the adjacent side in a right triangle: tan(θ) = opposite / adjacent.
- Substitute the known values into the formula: tan(60°) = AB / 50.
- Solve for AB (the height of the building): AB = 50 * tan(60°).
- Calculate the value: tan(60°) = √3 ≈ 1.732, so AB = 50 * 1.732 = 86.6 m.
- The height of the building is 86.6 meters.

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