Topics

General Knowledge
General Science
General English
Aptitude
General Computer Science
General Intellingence and Reasoning
Current Affairs
Exams
Elementary Mathematics
English Literature

A person of height 6 ft. wants to pluck a fruit which is on a 26/3 ft. high tree. lf the person is standing 8/ 3 ft. away from the base of the tree, then at what angle should he throw a stone so that, it hits the fruit?

A) \( 60 ^{\circ} \)
B) \( 75 ^{\circ} \)
C) \( 30 ^{\circ} \)
D) \( 45 ^{\circ} \)

Correct Answer:



C) \( 30 ^{\circ} \)

Description for Correct answer:

\( \Large tan \theta = \frac{AB}{EB} = \frac{ \left(AC-BC\right) }{DC} \)

= \( \Large \frac{ \left(\frac{26}{3}-6\right) }{\frac{8}{\sqrt{3}}} \)

= \( \Large \frac{\frac{ \left(26-18\right) }{3}}{\frac{8}{\sqrt{3}}} = \frac{1}{\sqrt{3}} \)

= \( \Large \theta = tan^{-1} \left(\frac{1}{\sqrt{3}}\right) = 30 ^{\circ} \)

Part of solved SSC Practice test(1) questions and answers : Exams >> SSC Exams >> SSC Practice test(1)

Comments

Similar Questions

1). Cost price of 100 books is equal to the selling price of 60 books. The gain percentage or loss percentage is :

A). \( \Large 66\frac{2}{3} \%\)

B). 0.67

C). 0.66

D). \( \Large 66\frac{2}{3} \%\)

2). lf the cube root of 79507 is 43, then the value of

\( \Large 3\sqrt{79.5807}+3\sqrt{0.079507}+3\sqrt{0.000079507} is \)

A). 0.4773

B). 477.3

C). 4.773

D). 47.73

3). The ratio of each interior angle to each exterior angle of a regular polygon is 3 : 1. The number of sides of the polygon is:

A). 8

B). 9

C). 6

D). 7

4). lf \( tan \theta + cot \theta = 5 \), then \( tan^{2} \theta + cot^{2} \theta \) is:

A). 25

B). 26

C). 23

D). 24

5). Raj and Prem walk in opposite direction at the rate of 3 km and 2 km per hour respectively. How far will they be from each other after 2 hrs?

A). 2 km

B). 6 km

C). 8 km

D). 10 km

6). Two circles touch externally. The sum of their areas is 130 sq.cm and the distance between their centres is 14 cm. The radius of the smaller circle is:

A). 4 cm

B). 5 cm

C). 2 cm

D). 3 cm

7). If \( \Large x+\frac{1}{X}=1 \), then the value of \( \Large \frac{x^{2}+3x+1}{x^{2}+7x+1} \) is :

A). 2

B). 1

C). \( \Large \frac{1}{2} \)

D). \( \Large \frac{3}{7} \)

8). In a rhombus ABCD, \( \angle A = 60 ^{\circ} \) and AB =12 cm. Then the diagonal BD is :

A). 12 cm

B). 10 cm

C). \( 2\sqrt{3} cm \)

D). 6 cm

9). Given that \( x^{3}+y^{3} = 72 \) and x+y = 6 with x > y, then the value4 of x - y is :

A). -2

B). -4

C). 4

D). 2

10). The measures of two angles of a triangle is in the ratio 4 : 5. lf the sum of these two measures is equal to the measure of the third angle. Find the smallest angle

A). 10

B). 40

C). 90

D). 50