Right Triangle Worksheet-Show all work on a separate sheet of paper with all steps of the problem-solving process.

 

  1. Suppose you have been assigned to measure the height of the local water tower.  You can’t climb the tower, so you decide to do this job on the ground.  From a point 47.3 m from the base of the water tower, you find that you must look up at an angle of 53 degrees to see the top of the tower.  How tall is the tower?  First draw a simple diagram.

 

 

 

 

 

 

  1. An observer 5200 m from the launch pad observes a missile just starting to

ascend.  The angle of elevation is 38 degrees, how high is the missile from the launch pad?   First draw diagram.

 

 

 

 

 

 

  1.  Your cat is trapped on a tree branch 6.5 m above the ground.  Your ladder is only 6.7 m long.  If you place the ladder’s tip on the branch, what angle will the ladder make with the ground?  Draw simple diagram first.

 

 

 

  1. From a point on the north rim of the Grand Canyon, a surveyor, sighting the south rim a little below the north rim, measures the angle to be 1.3 degrees.  From an aerial photo taken directly overhead, he determines that the horizontal distance between the two points is 1600 m.  How many meters is the south rim below the north rim?  Draw simple diagram first.