Methods to Solve Right Triangles

Chris wants to find the height of a lamp post for a science project. Chris is 70 inches tall. He stands 160 inches away from the lamp post and his shadow is 40 inches long. Which proportion is correct?

Answer explanation

Remember,

Pole to Man

height

shadow

Tags

CCSS.HSG.SRT.B.5

Consider this right triangle. Indicate whether each statement is true or false based on this right triangle. In the box below, give the length of BC rounded to the nearest tenth.

Tags

CCSS.HSG.SRT.C.8

Consider the right triangle. Determine whether each expression can be used to find the lenght of HI. Select all the ones that are TRUE.

Answer explanation

Just write out the table with all the trig ratios and their cross products. Select the ones that are right.

Tags

CCSS.HSG.SRT.C.6

Jeremiah wants to calculate the height of a tree. How tall is it? Round to the nearest tenth.

Tags

CCSS.HSG.SRT.C.8

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

Tags

CCSS.8.G.B.7

_{^{Find the missing side}}

• 48

• 108

• 83.6

• 72

Tags

CCSS.8.G.B.7

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.8.G.B.8

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

• 111.8 yards

• 115 yards

• 127.3 yards

• 119 yards

Tags

CCSS.8.G.B.8

If you are given the opposite side and hypotenuse, which trig function should you use?

• sine

• cosine

• tangent

• cotangent

Tags

CCSS.HSG.SRT.C.6

If you are given the two sides that are not the hypotenuse, which trig function should you use?

• sine

• cosine

• tangent

• cotangent

Tags

CCSS.HSG.SRT.C.6