Application of trigonometry

In a right triangle, hypotenuse is 10 cm long and an acute angle is 30°. What is the length of the side opposite to this angle?

• 5 cm
• 5√2 cm
• 10 cm
• None of the above

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

The length of the shadow of a 4 m high vertical pole on the level ground at an instant when the sun elevation is 60° is___

• 2 m
• 4√3 m
• 4⁄√3 m 
• 4 m

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

The ratio of the length of the pole and its shadow is 1 : √3.  The angle of elevation of the sun is ____

• 30°
• 60°
• 45°
• 90°

Tags

CCSS.HSG.SRT.C.8

The angle of elevation of the top of a tower is 30°.  If the height of the tower is doubled then the angle of elevation of the top will be_____

• No change: 30°
• Will be doubled : 60°
• will become 45°
• None of the above

Tags

CCSS.HSG.SRT.C.8

What is the correct equation?

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

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11

 Find side AB?

• 20 m
• 5 m
• 11.54 m
• 8.66 m

Tags

CCSS.HSG.SRT.C.8

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.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

What is tan(A)

• X / Y
• Y / X
• Z / Y
• X/ Z

What is the correct ratio?

• 7/24
• 24/7
• 7/25
• 24/25

Tags

CCSS.HSG.SRT.C.6

Which scenario describes the picture shown?

• A 5 foot ramp is 8 feet away from a building. What is the angle that the ramp makes with the ground?

• A 5 foot ramp leans against an 8 foot structure. What is the angle that the ramp makes with the ground?

• An 8 foot ramp leans

  against a building 5 feet away. What angle does the ramp make with the ground?

• A 5 foot man is 8 feet away from a building. What is the angle of elevation?