Right Triangle Trig Review

Right Triangle Trig Review

Multiple Choice

What is sin A?

• a/b

• a/c

• b/c

• b/a

Multiple Choice

What is tan B?

• a/b

• a/c

• b/c

• b/a

Multiple Choice

What is cos B?

• a/b

• a/c

• b/c

• b/a

In similar triangles, the ratios of the sides to each other are always the same and the angles are unchanged.

A similarity statement is ordered so that the letters of the vertices are corresponding with their congruent angles from the second triangle.

Multiple Choice

 $\Delta JKL\sim\Delta RST$  Which of the following must be equal to sin K?

• sin L

• sin T

• sin S

• cos K

Multiple Choice

What is the value of cos A?

• 15/17

• 8/17

• 15/8

• 8/15

Multiple Choice

 $\Delta DEF$  is a right triangle where  $\angle D$  is an acute angle.  If tan D = 1, which is greater, sin D or cos D?

• sin D
  

• cos D

• The are equal

• cannot be determined

Multiple Choice

 $\Delta JKL$  is a right triangle where  $\angle K$  is the right angle.  If sin J = 7/25, what is the value for cos K?

• 7/24

• 24/7

• 24/25

• 7/25

Multiple Choice

 $\Delta PQR$  is a right triangle with  $\angle Q$  as the right angle.  If sin P = 8/17, what is the value for cos P?

• 8/17

• 17/8

• 8/15

• 15/17

Multiple Choice

Find the value of x.

• 10.9

• 15.6

• 23.2

• 33.1

Multiple Choice

What is the perimeter of $\Delta ABC$  ?

• 48.1

• 54.2

• 55.1

• 65.2

Multiple Choice

What is the measure of $\angle A$ ? 

•  $43.6\degree$  

•  $46.4\degree$  

•  $35.9\degree$  

•  $54.1\degree$  

Multiple Choice

 $\Delta ABD$  is an equilateral triangle.  What is the measure of  $\angle A$  ?

•  $50\degree$  

•  $60\degree$  

•  $75\degree$  

•  $90\degree$  

Multiple Choice

 $\Delta ABD$  is an equilateral triangle.  What is the height is this triangle?

•  $10\sqrt{2}$  

•  $10\sqrt{3}$  

•  $15$  

•  $20\sqrt{3}$  

Multiple Choice

A bird sits on top of a flagpole at the end of a football field. It looks down at an angle of depression of 10^o to see a football sitting at the other end of the field which is 130 yards away. How tall is the flagpole?

• 22.9 yards

• 13 yards

• 22.5 yards

• 11.5 yards

Multiple Choice

A kite is tied to a stake in the ground. The string is 200 feet long and the kite is 120 feet off the ground. What is the angle of elevation of the string?

• $31.0\degree$

• $53.1\degree$

• $59.0\degree$

• $36.9\degree$