Geometry/Trig 8-7 Worksheet #2 Name __________________________ Date _______________ Block ______ Directions: Draw a diagram for each problem, then solve for the missing side or angle. Round all answers to the nearest hundredth. 1) You are painting the outside of your house and your 10 foot ladder is leaning against the house, at an angle of 56°. Then, you slide the top of the ladder 2 feet down the wall. What is the new angle of elevation? 2) You are standing on top of a 40 foot tall building. Your friend is on a 65 foot building. If you view your friend at a 36°angle of elevation, how far apart are the buildings? 3) A slide is 13 feet long and ends 2 feet above the ground. If the top of the slide is 8 feet off the ground, at what angle does the slide decline? 4) You stand 6 ft tall and you view a 35 foot building from your line of sight at an angle of 42º. How far from your position is the base of the building? 5) A 7 foot ramp connects 2 levels of a playground. The ramp begins 5 feet above the ground and ends 3 feet above the ground. At what angle does the ramp decline? 6) Suppose a flag is flown from the front of the roof of CB West High School. From a point 40 feet in front of the school, the angles of elevation to the base of the flagpole and the top of the flagpole are 28º and 42º, respectively. Show all work and round any measurements to the nearest hundredth. A) Find the height of the building (without the flagpole). B) Find the height of the flagpole. Light House 7) Two boats are in line, sailing towards a 100-foot tall lighthouse. The first boat can view the top of the lighthouse from a 47 angle. The second boat can see the top of the lighthouse from a 36 angle. How far behind the first boat is the second boat? 2nd Boat 1st Boat
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