As always, draw a diagram, and review your basic trig functions.
(1) tanθ = 51/150
(2) 4/x = cos63°
(3) x/1680 = sin53°
(4) x/420 = tan8"
(5) sinθ = 18.5/280
(6) 38/x = sin15°
1) A student can see a tower from the closet point of the soccer field at his high school. The edge of the soccer field is about 105 feet from the water tower and the water tower stands at a height of 51 feet. What is the angle of elevation from the student's feet?
2) A roofer props a ladder against a wall so that the base of the ladder is 4 feet away from the building. If the angle of elevation from the bottom of the ladder to the roof is 63", how long is the ladder?
3) A meteorologist measures the angle of depression of a weather balloon as 53°. A radio signal from the balloon indicates that it is 1680 feet from his receiver. How high is the weather balloon from the ground?
4) A blimp is flying to cover a football game. The pilot sights the stadium at an 8" angle of depression. The blimp is flying at an altitude of 420m. How many meters is the blimp from the stadium?
5) A sledding run is 280 yards long with a vertical drop of 18.5 yards. What is the angle of depression of the run?
6) A golfer is standing at the tee, looking up to the green on a hill. If the tee is 38 yards lower than the green and the angle of elevation is 15", find the distance from the tee to the hole?
Thank you
1 answer