5.4 trig word problems

A 30 ft. wire stretches from the top of a light pole diagonally to the ground. The light pole is 10 feet high. What is the angle the wire makes with the ground?

• 66 degrees
• 80 degrees
• 30 degrees
• 19 degrees

Tags

CCSS.HSG.SRT.C.8

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

Tags

CCSS.HSG.SRT.C.8

A plane takes off at an angle of 30 degrees and reaches a height of 10 miles.  What is the diagonal distance it has traveled from take off to it's current position?

• 15 miles
• 38 miles
• 17 miles
• 20 miles

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

A power line stretches from the top of a building to the ground. The power line is 100 ft. long and the building is 50 ft. tall. What is the horizontal distance from the end of the power line to the building? 

• 220.3 ft. 
• 100 ft.
• 86.6 ft. 
• 73.8 ft. 

Tags

CCSS.HSG.SRT.C.8

You are standing 10 feet away from a tree. There is a cat up in the tree. Your eyes make a 48 degree angle to look up at the cat. How high is the cat? 

• 11.1 ft. 
• 9 ft. 
• 7.4 ft. 
• 13.8 ft. 

Tags

CCSS.HSG.SRT.C.8

An airplane takes off 200 yards in front of a 60 foot building. At what angle must the plane take off from the ground in order to avoid crashing into the building?

• 73.30

• 5.71

• 17.46

• 21.84

Tags

CCSS.HSG.SRT.C.8

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

Tags

CCSS.HSG.SRT.C.8