The tops of two poles of height 14 m and 20 m are connected by a wire which make

Sail E0 Webinar

Question

The tops of two poles of height 14 m and 20 m are connected by a wire which makes an angle of 30° with the horizontal. The length of the wire is _____m.

Options:

A . 6m

B . 10m

C . 8m

D . 12m

Answer: Option D
:
D

The Tops Of Two Poles Of Height 14 M And 20 M Are Connected ...

In triangle ABC,
BC = y = 20-14 = 6m;
Let AB =

x

\Rightarrow

Sin

30^{\circ}

=

\frac{B C}{A B}

\Rightarrow

\frac{1}{2}

=

\frac{6}{x}

\Rightarrow

x

= 12
Thus, the length of the string is 12 m.

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. Two towers A and B are standing at some distance apart. From the top of tower A, the angle of depression of the foot of....of tower A in terms of ‘h’ is _____ m

Question 2. A kite is flying on a string of 40 m. The string attached to the kite is temporarily tied to a point on the ground. The ....30∘. Find the height at which the kite is flying.

Question 3. A Technician has to repair a light on a pole of height 10 m. She needs to reach a point 2 m below the top of the pole to....reach the required position, is___ m (You may take √3 = 1.73)

Question 4. The angles of depression of two objects from the top of a 100 m hill lying to its east are found to be 45∘ and 30∘....45∘ and 30∘. Find the distance between the two objects. (Take √3=1.732)

Question 5. Two ships are on either side of a 100 m lighthouse. The angles of elevation from the two ships to the top of the lighth....are 30° and 45°. Find the distance between the ships.

Question 6. A vertical stick 10 cm long casts a shadow 8 cm long. At the same time, a tower casts a shadow 30 cm long. Determine the....shadow 30 cm long. Determine the height of the tower?

Question 7. A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30�....ground is 12 m. Find the height of the tree.

Question 8. If the angle of elevation of a cloud from a point 200 m above a lake is 30∘ and the angle of depression of the refle....then the height of the cloud above the lake is:

Question 9. A tower stands vertically on the ground. From a point on the ground, which is 24 m away from the foot of the tower, the....found to be 60∘. Find the height of the tower.

Question 10. A contractor plans to install two slides for the children to play in a park. For the children below the age of 5 years, ....the ground. What should be the length of the slide?

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

GPOE / GPA Combined 1 Free Mock Test SAIL JO E-0 2024

Chapter 3.1 : INTRODUCTION Chapter 3 : Sinter Plant SAIL E0 - GPOE/GPA 2024

Chapter 2.3 : COAL HANDLING PLANT - Set 1 Chapter 2 : Coke Ovens and Coal Chemicals SAIL E0 - GPOE/GPA 2024

Chapter 1.1 : INTRODUCTION Chapter 1 : Raw Material Handling Plant SAIL E0 - GPOE/GPA 2024

DSP Combined 1 Free Revision Test SAIL JO E-0