Solving Word Problems with Trig

Jake is 6 ft. tall. He is standing outside when the angle of elevation of the sun is 28 degrees. How long would his shadow be? 

• 5.3 feet

• 2.8 feet

• 3.2 feet

• 11.3 feet

Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 

• 63.6 ft

• 1.59 ft

• 74.2 ft

• 86.9 ft

A 25ft ladder is leaning up against a wall. If the ladder makes a 63^o with the ground, how far is the base of the ladder from the wall?

• 12.4 ft

• 11.3 ft

• 22.3 ft

• 49.1 ft

Find the height of the tree. Assume the angle looking up to the tree is 38^o.

• 12.5 ft

• 11.9 ft

• 6.88 ft

• 17.5 ft

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. How many degrees should the tourist tilt his camera down to photograph the deer? Round your answer to the nearest degree.

• 19 degrees

• 45 degrees

• 71 degrees

• 138 degrees 

To the nearest whole degree.

• 66^°

• 24^°

• 22^°

• ^37°

Sally is flying a kite at an angle of 41 degrees. If the kite is 10 feet up in the air, how long is the kite string? 

• 6.6 feet

• 10.3 feet

• 15.2 feet

• 20 feet

Spencer is going snowboarding.  He rode the ski lift to the top of the mountain, which is at an altitude of 1500 feet.  The angle of elevation from the bottom to the top of the mountain is 25^o.  What is the length of the Spencer’s run (his trip down the hill)? 

• 3216.76 feet

• 633.93 feet

• 699.46 feet

• 3549.30

A plane flying at 2000 ft altitude begins a 25 degree angle of descent to land. What is the distance along the ground the plane will travel before it lands?

• 4289 ft

• 932.6 ft

• 845.2 ft

• 4732.4 ft

Jake built a skateboard ramp that covers a horizontal distance of 10 ft.  The ramp rises a total of 3.5 ft.  What angle does the ramp make with the ground? Round to the nearest degree.

• 19 degrees

• 20 degrees

• 28 degrees

• 35 degrees