Reasoning in Geometry

We can use SOH-CAH-TOA for...

• Any triangle ever
• Non-right triangles only
• Right Triangles only
• Never

Tags

CCSS.7.EE.B.3

What is the side across from the right angle called?

• Leg
• Pythagoras
• Hypotenuse
• Altitude

Which trig function would you use with this diagram?

• ^Sin
• ^Cos
• ^Tan
• ^Wha??

Which Trig function would you use to solve this problem?

• Sine

• Cosine

• Tangent

• Pythagorean Theorem

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree.  The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse? 

• 7.5 ft 
• 15 ft 
• 26 ft 
• 30 ft 

Tags

CCSS.HSG.SRT.C.8

A building 62 feet tall casts a shadow 21 meters long.  At what angle is the sun shining on the building?
HINT: Assume this is a right triangle.

• 19.80
• 18.71
• 70.20
• 71.29

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

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

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.
HINT: Assume this is a right triangle.

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

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