Angles of Elevation (Best Answer 10 points)?

3. A student can see a water tower from the closet point of the soccer field at San Lobos High School. The edge of the soccer field is about 110 ft from the water tower and the water tower stands at a height of 32.5 ft. What is the angle of elevation if the eye level of the student viewing the tower from the edge of the soccer field is 6 ft above the ground?

4. A roofer props a ladder against a wall so that the top of the ladder reaches a 30 ft roof that needs repair. If the angle of elevation from the bottom of the ladder to the roof is 55 degrees, how far is the ladder from the base of the wall?

5. The town of Belmont restricts the height of flagpoles to 25 ft on any property. Lindsay wants to determine whether her school is in compliance with the regulation. Her eye level is 5.5 ft from the ground and she stands 36 ft from the flagpole. If the angle of elevation is about 25 degrees, what is the height of the flagpole?

6. Stephan is standing on the ground by a mesa in the Painted Desert. Stephan is 1.8 meters tall and sights the top of the mesa at 29 degrees. Stephan steps back 100 meters and sights the top at 25 degrees. How tall is the mesa?
 
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