Answers OH-Geometry BUnit Test

Unit Test — Unit test Answers

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Which equation represents a true sine ratio in ?

sine A = StartFraction b over c EndFraction

sine A = StartFraction h over c EndFraction

sine C = StartFraction b over a EndFraction

sine C = StartFraction a over h EndFraction

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In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm.

34.8°

39.4°

50.6°

55.2°

Which statements are true about triangle QRS? Select three options.

The side opposite ∠Q is RS.

The side opposite ∠R is RQ.

The hypotenuse is QR.

The side adjacent to ∠R is SQ.

The side adjacent to ∠Q is QS.

The hypotenuse of a 45°-45°-90° triangle measures units.

11 units

units

22 units

units

Sameena measures the angle from the ground to the top of a building from two locations. The angle of elevation from the first point is 45°, and the angle of elevation from the second point is 60°. The distance from the second point to the top of the building is 150 ft. [Not drawn to scale]What is the distance from the first observation point to the top of the tower (x)? Round the answer to the nearest tenth.

122.5 ft

183.7 ft

244.9 ft

501.9 ft

The equation can be used to find the measure of angle LKJ.

41°

45°

49°

55°

Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 26, the length of A C is 10, and the length of B C is 24.

Five-thirteenths

Twelve-thirteenths

Twelve-fifths

Thirteen-twelfths

Which equation can be used to find the length of ?

(10)sin(40o) = AC

(10)cos(40o) = AC

= AC

Triangle ABC is a right triangle and cos(22.6o)=. Solve for b and round to the nearest whole number.

tan(22.6o) =

Triangle V U W is shown. The length of side W V is 6 centimeters, the length of side W U is 3 StartRoot 3 EndRoot centimeters, and the length of side U V is 3 centimeters.

m∠V = 30°, m∠U = 60°, m∠W = 90°

m∠V = 90°, m∠U = 60°, m∠W = 30°

m∠V = 30°, m∠U = 90°, m∠W = 60°

m∠V = 60°, m∠U = 90°, m∠W = 30°

Two trains leave a station on different tracks. The tracks make an angle of 130°, with the station as a vertex. The first train travels 100 km and makes its first stop at point A, while the second train travels 200 km and makes it first stop at point B. How far apart are the trains when both are at their first stop? Round the answer to the nearest integer. [Not drawn to scale]

65 km

139 km

224 km

275 km

Which equation below is equivalent to ?

h = StartFraction sine C over a EndFraction

a = h sine C

a = StartFraction sine C over h EndFraction

h = a sine C

The diagonal of rectangle ABCD measures 2 inches in length.

1 inch

inches

4 inches

inches

In which triangle is the value of x equal to tan−1? (Images may not be drawn to scale.)

A right triangle is shown. The length of the hypotenuse is 5.2 and the length of the side adjacent to the right angle is 3.1. The angle between the 2 sides is x.

A right triangle is shown. The length of the hypotenuse is 5.2 and the length of the side adjacent to the right angle is 3.1. The angle opposite to side with length 3.1 is x.

A right triangle is shown. The length of 2 sides are 5.2 and 3.1. The angle opposite to side with length 5.2 is x.

A right triangle is shown. The length of 2 sides are 5.2 and 3.1. The angle opposite to side with length 3.1 is x.

Triangle L J K is shown. Angle J L K is a right angle. The length of the hypotenuse is 15 inches and the length of the side adjacent to the right angle is 10 inches. The angle between the 2 sides is x.