Finding Sides of a Right Triangle

What is the length of side x?

• 6.57 cm

• 7 cm

• 7.44 cm

• 26.33 cm

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.  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

In this 45-45-90 triangle, I have been given the length of a leg.  How do I find the length of the hypotenuse?

• It is the same length as the given leg.

• Multiply that leg's length by √2.

• Multiply that leg's length by 2.

• Divide that leg's length by √2.

Tags

CCSS.8.G.B.8

What is the length of x in this 45-45-90 triangle?

• 4√2

• 4

• 8

• 4√3

Tags

CCSS.8.G.B.8

What is the side adjacent to ∠A?

• AB

• BC

• AC

• ∠C

Tags

CCSS.HSG.SRT.C.6

What is the length of u and v in this 30-60-90 triangle?

• u = 8 v = 4√3

• u = 4√2 v = 8

• u = 16 v = 8

• u = 4√3 v = 8

Tags

CCSS.HSG.SRT.C.8

Find the value of y.

• 7

• 7√3

• 14√3

• (14√3)/3

Tags

CCSS.HSG.SRT.C.8

Find the value of x.

• 18

• 18√3

• 36√3

• 12

Tags

CCSS.HSG.SRT.C.8

What would you use to solve for a?

• sin

• cos

• tan

• Pythagorean theorem

Tags

CCSS.HSG.SRT.C.6

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