Solving Right Triangles: Practice Level 1 | Geometry

Level 1 · Foundational 0 / 12 answered

Question 1 of 12

1

A right triangle has a selected acute angle theta. The known side is its adjacent leg A, and the unknown is its hypotenuse H. Which equation uses those two sides directly?

Answer choices for question 1 A $\sin\theta=A/H$ B $\tan\theta=A/H$ C $\cos\theta=A/H$ D $H=A+\theta$
2

A right triangle has hypotenuse 13 cm and a 24-degree acute angle. Find the leg opposite that angle to the nearest tenth of a centimeter.

Answer choices for question 2 A $5.3$ cm B $11.9$ cm C $32.0$ cm D $5.8$ cm
3

A right triangle has a 52-degree acute angle and an adjacent leg of 9 m. Find its hypotenuse to the nearest tenth of a meter.

Answer choices for question 3 A $5.5$ m B $14.6$ m C $7.1$ m D $11.5$ m
4

A right triangle has a 31-degree acute angle and an adjacent leg of 12 units. Find the opposite leg to the nearest tenth.

Answer choices for question 4 A $6.2$ units B $10.3$ units C $20.0$ units D $7.2$ units
5

For an acute angle theta, what does $\theta=\sin^{-1}(0.8)$ mean?

Answer choices for question 5 A Theta is the acute angle whose sine is 0.8. B Theta is the reciprocal of 0.8. C Theta is the sine of an angle measuring 0.8 degrees. D Theta is the square of 0.8.
6

A right triangle has hypotenuse 19 units and a 7-unit leg opposite theta. Find theta to the nearest tenth of a degree.

Answer choices for question 6 A $68.4^\circ$ B $20.2^\circ$ C $21.6^\circ$ D $0.4^\circ$
7

One acute angle in a right triangle is 28.6 degrees. Find the other acute angle.

Answer choices for question 7 A $151.4^\circ$ B $28.6^\circ$ C $118.6^\circ$ D $61.4^\circ$
8

Which exact calculator check is appropriate for degree mode?

Answer choices for question 8 A $\sin30^\circ=30$ B $\sin30^\circ=0.5$ C $\cos60^\circ=1$ D $\tan45^\circ=0$
9

A right triangle has legs 10 and 17 cm. Theta is opposite the 10 cm leg. Find theta to the nearest tenth of a degree.

Answer choices for question 9 A $59.5^\circ$ B $36.0^\circ$ C $1.7^\circ$ D $30.5^\circ$
10

Which input can inverse sine use to recover an acute angle in a nondegenerate right triangle?

Answer choices for question 10 A $1$ B $0.42$ C $-0.42$ D $1.42$
11

A right triangle has hypotenuse 16 cm and a leg of 9 cm. Find the other leg to the nearest tenth of a centimeter.

Answer choices for question 11 A $13.2$ cm B $18.4$ cm C $7.0$ cm D $175.0$ cm
12

A right triangle has one acute angle of 42 degrees. Which additional datum fixes its size?

Answer choices for question 12 A Its other acute angle is 48 degrees. B Its angles add to 180 degrees. C Its hypotenuse has length 11 cm. D Its opposite-to-hypotenuse ratio is the sine of 42 degrees.