Right Triangles Problem Solving

A building 62 feet tall casts a shadow 21 meters long.  At what angle is the sun shining on the building?

• 19.80
• 18.71
• 70.20
• 71.29

Tags

CCSS.HSF.TF.B.7

CCSS.HSG.SRT.C.6

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.6

CCSS.HSG.SRT.C.8

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

• 7.5 in
• 12.4 in
• 13.6 in 
• 14.3 in

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet
• 26 feet
• 27 feet
• 28 feet

Tags

CCSS.HSG.SRT.C.8

The foot of a ladder is placed 6 feet from a wall. If the top of the ladder rests 8 feet up on the wall, how long is the ladder? 

• 10 ft
• 14 ft
• 17 ft
• 100 ft

Tags

CCSS.HSG.SRT.C.8

Example 2: Find, to the nearest degree, the angle which the sun's rays make with the ground when a flagpole 40 feet high casts a shadow 30 feet long.

• 48^o

• 37^o

• 28^o

• 53^o

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Which set of sides would make a right triangle?

• 4,5,6
• 8,10,12
• 5,12,13
• 5,10,12

Tags

CCSS.8.G.B.8

Which equation can be used to solve the word problem: the diagonal of a t.v. is 40 inches and the height is 30.  How wide is the t.v.?

• 30²  + 40² = c²
• a²  + 40² = 30²
• 30²  + b² = 40²
• 40²  + 30² = c²

Tags

CCSS.8.G.B.8

Find the length of side y.

• 22.32 cm

• 36.5 cm

• 76.34 cm

• 87.76 cm

Tags

CCSS.HSG.SRT.D.11

CCSS.HSG.SRT.D.10

What is the length of side x?

• 6.57 cm
• 7 cm
• 7.44 cm
• 26.33 cm

Tags

CCSS.HSG.SRT.C.8