Chapter 6: Trigonometric Ratios - Math Mcqs for Grade 8 - Set 5

1)   If a building is 83 m high then the angle of elevation from point A (on level ground) which is 260 m away from the building is

a. 70°
b. 17.7°
c. 19.70°
d. 23.52°
Answer  Explanation 

ANSWER: 17.7°

Explanation:
No explanation is available for this question!


2)   In a right angle triangle ABC, the hypotenuse is 15 and adjacent side is 'x' then A 74° is

a. 3.148
b. 1.347
c. 4.134
d. 5.134
Answer  Explanation 

ANSWER: 4.134

Explanation:
No explanation is available for this question!


3)   If sin X is 1.578 then the value of angle X in a right angle triangle is

a. 68°
b. not possible
c. 55°
d. 85°
Answer  Explanation 

ANSWER: not possible

Explanation:
No explanation is available for this question!


4)   The answer of sin 62° up to four significant figures is

a. 0.8829
b. 0.7829
c. 0.6829
d. 0.9258
Answer  Explanation 

ANSWER: 0.8829

Explanation:
No explanation is available for this question!


5)   If the height of wind mill is 95 m and its shadow is 65 m then the angle of elevation of sun at that particular moment is

a. 55.62 m
b. 58.62 m
c. 62.36 m
d. 65.85 m
Answer  Explanation 

ANSWER: 55.62 m

Explanation:
No explanation is available for this question!


6)   In a right angle triangle ABC, the BC is supposed as 'x' and AC is 15 then A 65° is

a. 14.59
b. 16.59
c. 15.59
d. 13.59
Answer  Explanation 

ANSWER: 13.59

Explanation:
No explanation is available for this question!


7)   If a building is 65m above the ground level and the angle of depression of loader truck on level ground is 51° then the distance of loader truck from the building is

a. 50.23 m
b. 48.23 m
c. 52.63 m
d. 55.63m
Answer  Explanation 

ANSWER: 52.63 m

Explanation:
No explanation is available for this question!


8)   The only trigonometrical ratio whose value can be greater than 1 is

a. cosine
b. sine
c. tangent
d. none of the above
Answer  Explanation 

ANSWER: tangent

Explanation:
No explanation is available for this question!


9)   In a right-angled triangle XYZ with respect to X, the cosine of the angle A is calculated as

a. adjacent side/hypotenuse
b. opposite side/hypotenuse
c. opposite side/adjacent side
d. hypotenuse + adjacent side
Answer  Explanation 

ANSWER: adjacent side/hypotenuse

Explanation:
No explanation is available for this question!


10)   By evaluating cos 68° + sin 72°/tan 58° + cos 47°, the answer will be

a. 1.5852
b. 0.588
c. 0.8085
d. 0.5808
Answer  Explanation 

ANSWER: 0.5808

Explanation:
No explanation is available for this question!


11)   Consider a right angle triangle PQR, if PQ is 27 and QR is 17 then the value of angle P is

a. 32.19°
b. 45.19°
c. 49.58°
d. 62.46°
Answer  Explanation 

ANSWER: 32.19°

Explanation:
No explanation is available for this question!


12)   The cos P of triangle PQR with respect to P is calculated as

a. QR/PQ
b. QR/PR
c. PQ/PR
d. PR/PQ
Answer  Explanation 

ANSWER: PQ/PR

Explanation:
No explanation is available for this question!


13)   The corporate office building is 50m high and angle of elevation at top of building is 52° when seen from a point on level ground. The distance between point and foot of the building is

a. 21.35 m
b. 52 m
c. 25 m
d. 31.25 m
Answer  Explanation 

ANSWER: 31.25 m

Explanation:
No explanation is available for this question!


14)   The answer of tan 40° up to three significant figures is

a. 0.583
b. 0.839
c. 1.839
d. 2.839
Answer  Explanation 

ANSWER: 0.839

Explanation:
No explanation is available for this question!


15)   Consider a right angle triangle XYZ, XY is 17 and XZ is supposed as unknown number 'a' then X 54.26° up to three significant figures is

a. 25.1
b. 26.1
c. 27.1
d. 29.1
Answer  Explanation 

ANSWER: 29.1

Explanation:
No explanation is available for this question!


16)   By evaluating 4 sin 25° + 5 tan 35°, the answer will be

a. 1.1915
b. 3.1915
c. 4.1915
d. 5.1915
Answer  Explanation 

ANSWER: 5.1915

Explanation:
No explanation is available for this question!