Question

Due to electricity problem in the area Mr. Anil Kumar had complaint about the
problem in the electricity department In response to this complaint Mr. Subhash
Singh and electricity attended the problem. In order to climb on the pole, the
electrician put a ladder 9.5 m away from the pole at the angle of 60°. ( as in the figure)
Ladder
Pole​

Answer 1

Given:

Mr. Subhash Singh and electricity attended the problem. In order to climb on the pole, the electrician put a ladder 9.5 m away from the pole at the angle of 60°

To find:

(a). Given problem is based on the concept of?

(b). Find the length of the ladder?

(c). If the foot of the ladder is moved away from the wall then the angle of elevation will be?

(d). The angle of elevation and depression are always?

Solution:

(a). Concept of the given problem:

The given problem is based on the concept of elevation and depression → option (i).

(b). Finding the length of the ladder:

Let's assume,

"AB" → represents the height of the pole

"BC = 9.5 m" → represents the distance between the foot of the ladder and the pole

"AC" → represents the length of the ladder

"∠ACB = 60°" → represents the angle of elevation

In ΔABC, using the concept of trigonometric ratios of a triangle, we get

$cos \theta = \frac{base}{hypotenuse}$

$\implies cos \:60\° = \frac{BC}{AC}$

$\implies \frac{1}{2} = \frac{9.5}{AC}$

$\implies AC = 9.5 \times 2$

$\implies \bold{AC = 19 \: m}$

Thus, the length of the ladder is → option (ii) → 19 m.

(c). If the foot of the ladder is moved away from the wall then the angle of elevation will be → option (ii) → less than 60°.

(d). The angle of elevation and depression are always → option (i) → acute angles.

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Also View:

Two poles of equal heights are standing opposite to each other on either side of the road which is 80m wide. From a point P between them on the road, the angle of elevation of the top of one pole is 50 and the angle of depression from the top of another pole at P is 30. Find the height of each pole and distances of the point P from the poles.

https://brainly.in/question/18370565

The length of the shadow of a 3-metre high pole at a certain time of the day is 3.6 m. What is the height of another pole whose shadow at that time is 54 m long?

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The height of two poles are in the ratio of 1:2 standing opposite to each other either side of the road which is 90 feet wide a man observes the top of the pole same from a point on the line joining the foot of the poles if the angle of elevation is 60 find the length of poles?

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Answer 2

Answer:

Due to electricity problem in the area Mr. Anil Kumar had complaint about the

problem in the electricity department In response to this complaint Mr. Subhash

Singh and electricity attended the problem. In order to climb on the pole, the

electrician put a ladder 9.5 m away from the pole at the angle of 60°. ( as in the figure)

Ladder

Pole

Step-by-step explanation:

Due to electricity problem in the area Mr. Anil Kumar had complaint about the

problem in the electricity department In response to this complaint Mr. Subhash

Singh and electricity attended the problem. In order to climb on the pole, the

electrician put a ladder 9.5 m away from the pole at the angle of 60°. ( as in the figure)

Ladder

Pole