Trig Word Problems

What is the correct ratio using the information given?

• sin 40 = w/28
• cos 40 = w/28
• tan 40 = w/28
• sin 40 = 28/w

Tags

CCSS.HSG.SRT.C.6

The labeled 12^o angle is a...

• angle of elevation
• angle of depression
• neither
• both

Tags

CCSS.HSG.SRT.C.8

Solve for the missing distance.

• 18.9
• 19.5
• 47
• 27.5

Tags

CCSS.HSG.SRT.C.8

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 ft
• 65 ft
• 74 ft
• 87 ft

Tags

CCSS.HSG.SRT.C.8

A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.   Which of these is nearest to the height of the lighthouse? 

• 25 feet
• 44 feet 
• 81 feet 
• 185 feet 

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

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

• 4289 ft
• 932.6 ft
• 845.2 ft
• 4732.4 ft

Tags

CCSS.HSG.SRT.C.8

When the angle of elevation of the sun is 78 degrees, an statue casts a shadow that is 6m long. How far is the top of the statue to the end of its shadow?

• 1.2 m
• 28.9 m
• 6.1 m
• 28.2 m

Tags

CCSS.HSG.SRT.C.8

A sailing ship sails 46 km North and then 74 km East. How far is the ship from its starting point to the nearest km?

• 67 km
• 58 km
• 85 km
• 87 km

Tags

CCSS.8.G.B.8

A 13 ft. ladder is leaning against the house. The top of the ladder touches the house at 10 feet above the ground. How far away is the bottom of the ladder from the house?

• 10 feet

• 7.5 feet

• 8.3 feet

• 3.8 feet

Tags

CCSS.8.G.B.8