question

The equation tan−1(8.9/7.7) = x can be used to find the measure of angle LKJ.
What is the measure of angle LKJ? Round to the nearest whole degree.

answer

49

question

An acute triangle has side lengths 21 cm, x cm, and 2x cm. If 21 is one of the shorter sides of the triangle, what is the greatest possible length of the longest side, rounded to the nearest tenth?

answer

24.2 cm

question

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?

answer

39.4°

question

Triangle ABC is a right triangle and cos(22.6°)= b/13. Solve for b and round to the nearest whole number.
Which equation correctly uses the value of b to solve for a?

answer

tan(22.6°) = a/12

question

A right triangle has one angle that measure 23°. 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.

answer

161.7 cm2

question

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

answer

cos(52°).

question

Which classification best represents a triangle with side lengths 10 in., 12 in., and 15 in.?

answer

acute, because 102+122>152

question

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

answer

40/9

question

Two sides of an obtuse triangle measure 10 inches and 15 inches. The length of longest side is unknown.
What is the smallest possible whole-number length of the unknown side?

answer

19 inches

question

Which statements are true about triangle QRS? Check all that apply.

answer

The side opposite ∠Q is RS
The hypotenuse is QR.
The side adjacent to ∠Q is QS.

question

Which equation can be used to find the measure of angle LJK?

answer

cos(x) = 10/15

question

The equation sin(25°) = 9/c can be used to find the length of AB.
What is the length of AB? Round to the nearest tenth.

answer

21.3 in.

question

In which triangle is the value of x equal to tan−1(3.1/5.2)?

answer

D

question

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

answer

12/5

question

Which equation can be used to find the length of AC?

answer

(10)sin(40o) = AC

question

Joey is building a frame for a sandbox. The sandbox is going to be a quadrilateral that has the lengths shown.
If the diagonal of the sandbox measures 14 feet, which best describes the shape of the sandbox?

answer

a quadrilateral, because angle C and angle X are acute

question

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

answer

3/5

question

Which trigonometric ratios are correct for triangle ABC? Check all that apply.

answer

sin(C) = √3/2
tan(C) = √3
sin(B) = 1/2

question

What is the approximate value of y − x?

answer

17.2°

question

What is the length of AB? Round to the nearest tenth.

answer

38.6 m

question

Given right triangle JKL, what is the value of cos(L)?

answer

5/13

question

Which is the best approximation for the measure of angle EGF?

answer

40.2°

question

Given △DEF, which is not equal to cos(F)?

answer

tan(F).

question

What is the length of AC? Round to the nearest tenth.

answer

10.5 m

question

What is the approximate value of x? Round to the nearest tenth.

answer

4.6 cm