CVHSGEO6 Right Triangle Trigonometry

What is the height of the cone? 

• 14 cm
• 8 cm
• 12 cm
• 13.9 cm

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Which trigonometric function would you use to find "h", the height of the tree?

• sine

• cosine

• tangent

• none of these

Tags

CCSS.HSG.SRT.C.8

A 16 foot ladder leans against a building. If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?

• 39.6 feet

• 6.0 feet

• 14.8 feet

• 13.6 feet

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.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is nearest to the height of the lighthouse? 

• 25 feet
• 45 feet 
• 110 feet 
• 135 feet 

Tags

CCSS.HSG.SRT.C.8

A traffic helicopter spots two different accidents. One is east at an angle of depression of 35 degrees. The other is west at an angle of depression of 21 degrees. If the helicopter is 800 feet in the air, how far apart are the accidents?

• 1142 feet

• 2084 feet

• 3227 feet

• 942 feet

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?

• 17 miles
• 32 miles
• 37 miles
• 40 miles

Tags

CCSS.8.G.B.8

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

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 feet

A vertical tower is 20 m high from the horizontal ground. The angle of depression of a ball from the top of the tower is 42°. Calculate the distance, in m, of the ball from the base of the tower

• 18.01 m
• 29.89 m
• 13.38 m
• 22.21 m

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