Question
Measurement A surveyor standing 65 $\mathrm{m}$ from the base of a building measures the angle to the top of the building and finds it to be $42.8^{\circ} .$ (See the figure.) Use trigonometry to find the height of the building.
Step 1
8^{\circ}$. We are asked to find the height of the building, which is the side opposite to the given angle. We can use the tangent of the angle, which is the ratio of the opposite side to the adjacent side in a right triangle. Show more…
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Trigonometric Functions
Right Triangle Trigonometry
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