TEST 1 (MATH)

Given right triangle DEF, what is the value of tan(F)?

C. 40/9

Given right triangle XYZ, which correctly describes the locations of the sides in relation to ∠Y? a is opposite, b is adjacent, c is the hypotenuse a is the hypotenuse, b is opposite, c is adjacent a is adjacent, b is the hypotenuse, c is opposite a is adjacent, b is opposite, c is the hypotenuse

D

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

D

What are the angle measures of triangle VUW? 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°

D. m∠V = 60°, m∠U = 90°, m∠W = 30°

Which equation can be used to find the measure of angle FGE? sin(x) = sin(x) = cos(x) = cos(x) =

Sin(x)=9/15.2

Which equation can be used to find the measure of angle BAC? tan−1 = x tan−1 = x cos−1 = x cos−1 = x

Tan-1(12/5)=x

The hypotenuse of a 45°-45°-90° triangle measures 4 cm. What is the length of one leg of the triangle? 2 cm 2 sqrt. 2 cm 4 cm 4 sqrt. 2 cm

b 2 sqrt. 2

Which equation can be used to solve for b? b = (8)tan(30o) b = b = (8)sin(30o) b =

b = (8)tan(30o)

The length of the hypotenuse, line segment GH, in triangle GJH measures 6 cm. Line segment JH measures 2 cm. Which is the approximate measure of angle JGH? 18.4° 19.5° 70.5° 71.6°

b. 19.5

Use the diagram to complete the statement. Given △JKL, sin(38°) equals cos(38°). cos(52°). tan(38°). tan(52°).

cos(52°).

Which equation can be used to find the measure of angle LJK? sin(x) = 10/15 sin(x) =15/10 cos(x) =10/15 cos(x) =15/10

cos(x) =10/15

What is the length of line segment AB? 1 inch sqrt. 3 inches 4 inches inches

sqrt. 3

Triangle ABC is a right triangle and cos(22.6o)=. Solve for b and round to the nearest whole number. Which equation correctly uses the value of b to solve for a? tan(22.6o) = tan(22.6o) = tan(22.6o) = tan(22.6o) =

tan(22.6o) =A/12

Which equation can be used to find the length of ? (10)sin(40o) = AC (10)cos(40o) = AC = AC = AC

(10)sin(40o) = AC

Given right triangle ABC, what is the value of tan(A)?

12/5

A right triangle has one angle that measure 23o. The adjacent leg measures 27.6 cm and the hypotenuse measures 30 cm. What is the approximate area of the triangle? Round to the nearest tenth. Area of a triangle = bh 68.7 cm2 161.8 cm2 381.3 cm2 450.0 cm2

161.8 cm2

The equation can be used to find the length of . What is the length of ? Round to the nearest tenth. 19.3 in. 21.3 in. 23.5 in. 68.0 in.

21.3 in.

What is the length of one leg of the triangle? 11 units units 22 units units

22 units

Given right triangle DEF, what is the value of sin(E)?

3/5

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. Which is the approximate measure of angle YZX? 34.8° 39.4° 50.6° 55.2°

39.4°

What is the measure of angle LKJ? Round to the nearest whole degree. 41° 45° 49° 55°

49°

The equation can be used to determine the measure of angle BAC. What is the degree measure of angle BAC? Round to the nearest whole degree. 19° 20° 70° 71°

70

Using the side lengths of △PQR and △STU, which angle has a sine ratio of ? ∠P ∠Q ∠T ∠U

<P

iven right triangle JKM, which correctly describes the locations of the sides in relation to ∠J? a is the hypotenuse, b is adjacent, c is opposite a is the hypotenuse, b is opposite, c is adjacent a is adjacent, b is opposite, c is the hypotenuse a is opposite, b is the hypotenuse, c is adjacent

A

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.

A C E