WORKSHEET Problem Solving. Direction: Solve the following worded problem. 1. From a point on the ground 12 ft from the base of a flagpole, the angle of elevation of the top of the pole measures 53°. How tall is the flagpole? 2. From an airplane at an altitude of 1200 m, the angle of depression to a building on the ground measures 28°. Find the distance from the plane to the building. 3. A woman is standing 12 ft from a sculpture. The angle of elevation from her eye to the top of the sculpture is 30°, and the angle of depression to its base is 22°. How tall is the sculpture to the nearest foot? 4. A 14 foot ladder is used to scale a 13 foot wall. At what angle of elevation must the ladder be situated in order to reach the top of the wall?
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For the flagpole problem, we can use the tangent function to find the height of the flagpole. Let h be the height of the flagpole. We have: $\tan(53^\circ) = \frac{h}{12}$ Solving for h, we get: $h = 12 \tan(53^\circ)$ $h \approx 15.99$ So the height of the Show more…
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