Review 6: Right Triangle Trig

Angle B and angle C are _________.

• corresponding

• complementary

• supplementary

• vertical

Tags

CCSS.7.G.B.5

Sin(b) ____ Cos(C)

• >

• <

• =

Tags

CCSS.HSG.SRT.C.7

Mr. Jameson is walking toward his nine-story hotel and stops to look up to the top of the building. The angle of elevation to the top of the hotel is 50°. If the height of the hotel is 90 feet, about how far away is Mr. Jameson from the hotel?

• 107 feet

• 117 feet

• 140 feet

• 76 feet

Tags

CCSS.HSG.SRT.C.8

Which of the following functions is equal to sin(90° - $\alpha$ )? 

• cot(90° - $\alpha$   )

• csc( $\alpha$ )

• cos( $\alpha$  )

• csc(90° - $\alpha$  )

Tags

CCSS.HSG.SRT.C.7

Angles A and B are complementary angles in a right triangle. The value of tan(A) is  $\frac{7}{24}$  . What is the value of cos(A)?

•  $\frac{24}{25}$  

•  $\frac{25}{24}$  

•  $\frac{25}{7}$  

•  $\frac{24}{7}$  

Tags

CCSS.HSG.SRT.C.7

Howard is standing 98 yards from the bottom of a water reservoir. He estimates that the angle of elevation to the top of the water reservoir is about 55°. About how far is Howard from the top of the water reservoir?

• 120 yards

• 171 yards

• 69 yards

• 56 yards

Tags

CCSS.HSG.SRT.C.8

 If X = 27 inches, Y = 120 inches, and Z = 123 inches, what is the cosine of  $\angle B$ ?

•  $\frac{9}{40}$  

•  $\frac{40}{41}$  

•  $\frac{41}{40}$  

•  $\frac{9}{41}$  

Tags

CCSS.HSG.SRT.C.6

 $\sin\left(\left(2x+3\right)\degree\right)=\cos\left(\left(x-12\right)\degree\right)$  


Find the value of x.

• 33

• 39

• 11

• 42

Tags

CCSS.HSG.SRT.C.7

Diego is planning to make a wooden cookbook stand for his mom. The depth of the stand will be 10 inches and will hold a cookbook at a 40° angle, as shown in the following design.

Diego wants to know if the length of the slanted side will be large enough to hold a cookbook. Which equation can be used to find x, the length of the slanted side?

• $\sin\left(40\degree\right)=\frac{x}{10\ in}$

• $\cos\left(40\degree\right)=\frac{10\ in}{x}$

• $\tan\left(40\degree\right)=\frac{x}{10\ in}$

• $\cos\left(40\degree\right)=\frac{x}{10\ in}$

Tags

CCSS.HSG.SRT.C.6

If   $\alpha$  = 38° and m = 50 cm, what is the value of n to the nearest tenth of a centimeter?

• 81.2 cm

• 39.1 cm

• 30.8 cm

• 39.4 cm

Tags

CCSS.HSG.SRT.C.8