Right Triangles: Pythagorean Theorem and Trig

Marcus leans a 12-ft ladder against a wall to clean a window. If the base of the ladder is 3 ft away from the wall, how high up does the ladder reach? Round to the nearest tenth.

• 12.4 feet
• 10 feet
• 11.6 feet
• 10.6 feet

Tags

CCSS.8.G.B.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

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 18 miles
• 32 miles
• 37 miles
• 40 miles

Tags

CCSS.8.G.B.8

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

• 111.8 yards
• 115 yards
• 127.3 yards
• 119 yards

Tags

CCSS.8.G.B.8

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

Solve for the missing angle.

• 50
• 0.053
• 36.9
• 95

Tags

CCSS.HSG.SRT.C.8

Write the correct ratio to find the angle measure, say x identified with a ?.

• Sin x = 13/20 
• Cos x = 13/20
• Cos 20 = 13/x
• Sin x = 20/13

Tags

CCSS.HSG.SRT.C.6

Find the depth d at which the anchor is located.

• 18.9
• 19.5
• 47
• 27.5

Tags

CCSS.HSG.SRT.C.8

A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees.  Estimate the length of the ramp to the nearest tenth of an inch. 

• 4.1 inches
• 3.9 inches
• 22.7 inches 
• 0.7 inches 

Tags

CCSS.HSG.SRT.C.8

Find the missing angle X

• x = 100^o
• x = 88^o
• x = 47^o
• x = 43^o

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11