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Eleventh Grade (Grade 11) Trigonometry Questions

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Grade 11 Trigonometry CCSS: HSF-TF.A.3

The side lengths of triangle ABC are:

$AB = 1 \ "unit", \ AC = 1 \ "unit", \ BC = sqrt(2) \ "units"$ . What is the value of

$tan(B) ?$

$sqrt(2)$
$1/sqrt(2)$
$0$
$1$

Grade 11 Trigonometry CCSS: HSF-TF.A.3

In triangle ABC,

$sin(C) = 1/2$ . If

$AC = 6 \ "units"$ , what is the length of

$bar{BC} ?$

$2 \ "units"$
$2sqrt(3) \ "units"$
$12 \ "units"$
$4sqrt(3) \ "units"$

Grade 11 Trigonometry CCSS: HSF-TF.A.2

$(-4pi)/3$ is equivalent to which of the following?

$(-2pi)/6$
$(4pi)/3$
$pi/3$
$(2pi)/3$

Grade 11 Trigonometry CCSS: HSG-SRT.C.8

Harry is building a ramp with wooden boards. If the boards are 18 ft, and the ramp will rise 6 ft, what is the angle of elevation of the ramp? Round the answer to the nearest tenth of a degree.

18.4°
19.5°
70.5°
71.6°

Grade 11 Trigonometry CCSS: HSG-SRT.C.6

$Delta ABC$ ,

$AC = 14 \ "units"$ and

$BC = 17 \ "units"$ . What is the value of

$cos(C)$ , rounded to two decimal places?

0.56
0.69
0.82
1.21

Grade 11 Trigonometry CCSS: HSF-TF.C.9

What is the exact value of

$cos(285°) ?$

$1/2 (1 - sqrt(2))$
$-1/4 (sqrt(6) - sqrt(2))$
$1/4 (sqrt(6)-sqrt(2))$
$1/4 (sqrt(2) + sqrt(6))$

Grade 11 Trigonometry CCSS: HSF-TF.C.9

What is the exact value of

$sin(105°) ?$

$1/2(sqrt(3)+sqrt(2))$
$1/4(sqrt(2)-sqrt(6))$
$1/4(sqrt(6)+sqrt(2))$
$1/4(sqrt(6)-sqrt(2))$

Grade 11 Trigonometry CCSS: HSF-IF.C.7c

What is the inverse of the sine function?

cosine
tangent
secant
arcsine

Grade 11 Trigonometry

The is defined as half the difference between the maximum and minimum values of a periodic function.

period
amplitude
phase shift
resonance
none of these are correct

Grade 11 Trigonometry CCSS: HSG-SRT.C.6, HSG-SRT.D.11

Shane is standing near a cell tower. The angle of elevation from him to the top of the tower is 73°. Cara is standing 10 feet behind Shane (further away from the cell tower). From her, the angle of elevation to the top of the tower is 65°. What is the height of the tower, rounded to the nearest tenth of a foot?

9.1 ft
59.0 ft
62.3 ft
65.7 ft

Grade 11 Trigonometry CCSS: HSG-SRT.C.6

Given

$Delta ABC$ , where

$AB = 9 " and " ang C = 53deg$ , find the length of

$\bar{BC}$ .

14.95
5.42
7.19
11.27

Grade 11 Trigonometry CCSS: HSG-SRT.C.6

If AC is 15, AB is 17, and BC is 8, then find

$cos(B)$ .

$8/15$
$15/8$
$8/17$
$15/17$

Grade 11 Trigonometry CCSS: HSG-SRT.C.8

A slide on a playground forms a right triangle. If the angle of elevation of the slide is 51° and it is 2.6 m long, how high is the slide? Round the answer to two decimal places.

1.64 m
2.02 m
3.35 m
4.13 m

Grade 11 Trigonometry CCSS: HSG-SRT.C.6

$Delta ABC$ ,

$m ang C = 35°$ and

$AC = 4.5 \ "units"$ . What is the length of

$bar{BC}$ , rounded to one decimal place?

0.1 units
0.2 units
5.5 units
7.8 units

Grade 11 Trigonometry CCSS: HSF-TF.C.9

What is the exact value of

$tan(165°) ?$

$2-sqrt(3)$
$-2-sqrt(3)$
$2+sqrt(3)$
$-2+sqrt(3)$

Grade 11 Trigonometry CCSS: HSG-SRT.D.10

In the triangle PQR, sin(P) = 0.2, sin(R) = 0.4 and r = 22. Find the length of p.

Grade 11 Trigonometry CCSS: HSG-SRT.C.6

Given

$Delta ABC$ , where

$AC = 5 " and " ang A = 31deg$ , find the length of side

$\bar{AB}$ .

9.71
2.58
5.83
4.29

Grade 11 Trigonometry CCSS: HSG-SRT.C.6

$Delta ABC$ ,

$AB = 7 \ "units"$ and

$AC = 9.3 \ "units"$ . What is the measure of angle B, rounded to one decimal place?

53.0°
48.8°
41.2°
37.0°

Grade 11 Trigonometry

$sin(theta)=7/25$ , what is

$tan(theta)$ ?

$7/24$
$24/25$
$7/8$
$24/7$

Grade 11 Trigonometry CCSS: HSG-SRT.C.6

$Delta ABC$ ,

$AB = 8.5 \ "units"$ and

$BC = 4.2 \ "units"$ . What is the value of

$tan(A)$ , rounded to two decimal places?

0.57
0.78
0.87
1.76

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Eleventh Grade (Grade 11) Trigonometry Questions