IM 2 Final Exam Review Chapters 9 - 11

Find v.

• 4

• 8

Answer explanation

To go from the short side to the medium side, we multiply by root 3.

Tags

CCSS.MATH.CONTENT.HSG.SRT.C.6

What is the measure of side c?

• 7

• 7/√2

• 7√2

• 14

Answer explanation

To go from the short side to the hypotenuse, we multiply by root 2

Tags

CCSS.MATH.CONTENT.HSG.SRT.C.6

Find y.

• 8

• 16

Answer explanation

To go from the hypotenuse to the short side, we divide by root 2.

Tags

CCSS.MATH.CONTENT.HSG.SRT.C.6

Find u.

• 2

• 8

Answer explanation

To go from the short side to the hypotenuse, we multiply by 2.

Tags

CCSS.MATH.CONTENT.HSG.SRT.C.6

Find the value of x.

• 14

• 14√2

• 14√3

• 28

Answer explanation

To go from the long side to the short side, we divide by 2

Tags

CCSS.MATH.CONTENT.HSG.SRT.C.6

Find the value of y.

• 14

• 14√2

• 14√3

• 28

Answer explanation

To go from the long side to the medium side...

first we go to the short side, by dividing by 2...

then we multiply by root 3.

Tags

CCSS.MATH.CONTENT.HSG.SRT.C.6

Which of the trig ratios are correct for the triangle shown?

Answer explanation

Using Soh Cah Toa, we would see that from x:

28 is the opposite side.

45 is the adjacent side.

53 is the hypotenuse.

So:

sin x = 28/53

cos x = 45/53

tan x = 28/45

Tags

CCSS.MATH.CONTENT.HSG.SRT.C.8

Solve for x.

• 14.32

• 25.21

• 31.57

• 23.79

• 15.17

Answer explanation

From 53 (the marked angle), 19 is the opposite side and x is the adjacent side. According to SohCahToa, we need to use tangent.

tan 53 = 19/x

If x is in the denominator, we divide.

19 divided by tan 53 = 14.317, which rounds up to 14.32

Tags

CCSS.MATH.CONTENT.HSG.SRT.C.6

Solve for x.

• 14.06

• 25.36

• 16.07

• 59.82

• 33.16

Answer explanation

From 29 (the marked angle), 29 is the hypotenuse and x is the opposite side. According to SohCahToa, we need to use Sine.

sin 29 = x/29

If x is in the numerator, we multiply.

29 times sin 29 = 14.059, which rounds up to 14.06

Tags

CCSS.MATH.CONTENT.HSG.SRT.C.6

Solve for x.

• 34.05

• 55.95

• 16.07

• 36.44

• 50.36

Answer explanation

From x (the marked angle), 29 is the adjacent side and 35 is the hypotenuse. According to SohCahToa, we need to use Cosine:

cos x = 29/35

when x is with the word, we use 2nd cos 29/35 = 34.047 which rounds up to 34.05

Tags

CCSS.MATH.CONTENT.HSG.SRT.C.6