Unit 5/8 Test

What is the definition of  "tangent"?

• Adjacent/Hypotenuse

• Hypotenuse/opposite

• Opposite/Adjacent

• Adjacent/Opposite

What is the definition of "sine"?

• Opposite/Adjacent

• Hypotenuse/Adjacent

• Opposite/Hypotenuse

• Adjacent/Opposite

Find the unknown side length.  Round answer to the nearest hundredth if necessary.

• 11.70 m

• 137 m

• 105 m

• 10.25 m

Cos 23 = (answer correct to 2 decimal places)

• 0.935

• 0.94

• 0.921

• 0.92

• -0.53

If a = 7 and c = 25, b = ?

• 18

• 24

• 26

• 32

A triangle with sides length of 16, 30, and 34 units is a right triangle.

• True

• False

Find x.

• 2

• 4

• Cannot be determined from information.

If the side lengths of a triangle are 7, 6, and 9, the triangle is _____. 

• Obtuse

• Right

• Acute

• Cannot be formed

Which equation would best help solve for x?

• Sin 25 = x/48

• Cos 25 = x/48

• Tan 25 = x/48

• Tan 25 = 48/x

If  b = 15 and c = 24, a = ?   (Round answer to the tenth)

• 28.3

• 18.7

• 9

• 39

Evaluate x if cos x =0.156(correct to the neearest degree)

• 81°

• 1°

• 90°

In the diagram below, buildings P and Q are 50m apart. The angle of elevation of T from R is 53° and the angle of depression of V from R is 41°. Determine the height TV of building Q?

• 95.3m

• 73.6m

• 110m

• 83.4m

A triangle with sides length of 7, 24, and 25 units is a right triangle.

• True

• False

One end of  a piece of wire 14 m long is attached to the top of a vertical pole and the other end is attached to the ground at an angle of 70 degrees to the ground.  What is the height of the pole?

• 4.8 m

• 14.9 cm

• 13.2 m

• 38.5 m

Find x.

• 7 * sqrt(3)

• 7

• 7 * sqrt(2)

In a right angle triangle ABC, AB = 12 m, angle ABC = 90 degrees and angle BAC = 60 degrees. The length of side AC is

• 6 cm

• 24 cm

• 10.4 cm

• 16.5 cm

In the following triangle, what is sin A = ?

• 5/12

• 12/5

• 5/13

• 12/13

Tan 74^o = (answer to 1 decimal place)

• -5.7

• 3.4

• 3.5

• 2.3

Evaluate x if tan x = 2.45(answer correct to 1 decimal place)

• 67.8°

• 67.7°

• 1.2°

• 1.1°

• 75.3°

From the top of a lighthouse 210 feet high, the angle of depression of a boat is 27°. Find the distance from the boat to the foot of the lighthouse. The lighthouse was built at sea level. 

• 107 ft

• 207 ft

• 187 ft

• 210 ft

A) Write three (3) personal individual goals. Be specific. B) What kind of classwork activity would you like or what kind of group activity would you suggest for next six weeks?

Name (First and Last)