Question

The Statue of Unity is a colossal statue of Indian statesman

and independence activist Sardar Vallabh bhai Patel (1875–1950), who was the

first Deputy Prime Minister and Home minister of independent India and the chief

adherent of Mahatma Gandhi during the non-violent Indian Independence

movement. Patel was highly respected for his leadership in uniting the 562

princely states of India to form the single Union of India. It is located in the state

of Gujarat, India. It is the world's tallest statue with a height of (597 ft) 182

metres. It is located on a river facing the Sardar Sarovar Dam on

river Narmada in Kevadiya colony, 100 kilometres (62 mi) southeast of the city

of Vadodara and 150 kilometres (93 mi) from Surat.

a. What information is required to find the height of statue if not given in

the passage?

(i) Angle of elevation from a point on ground.

(ii) Distance of point of angle of elevation from the bottom of statue

(iii) Both A & B

(iv) Data insufficient

1

b. Find the angle of elevation of top of the statue from a point on ground at

182 m .

(i) 450

(ii) 300

(iii) 600 (iv) 900

1

c. Which trigonometric ratio will you use to find the angle of elevation of

top of the statue from a point on ground easily?

(i) tan (ii) cos

(iii) sin (iv) sec

1

d. A person of height of 2 m makes an angle of 60o

from the top of statue,

then the distance of that person from the bottom of statue is :

(i) 60√3 m (ii) 180√3 m
​

Answer 1

Answer:

a) Both A & B

b) 45°

c) Tan

d) 60√3

Step-by-step explanation:

(a) information that are required to find the height of statue if not given are

(i) angle of elevation from a point on ground

(ii) distance of point of angle of elevation from the bottom of statue

as $Tan(\theta) = Perpendicular\div Base$

$\theta$ = angle of elevation

and Base is distance of point of angle of elevation from the bottom of statue.

Thus option (iii) is the correct answer

b) Angle of elevation = $Tan(\theta)$

$Tan(\theta) = Perpendicular\div Base$

Perpendicular = 182m

Base = 182m

$Tan(\theta)$ = $182 \div 182$

$Tan(\theta) = 1$

$\theta$ must be 45° for $Tan(\theta)$ to be 1

Thus option (i) is the correct ans

(c) trigonometric ratio which will be used to find the angle of elevation of top of the statue from a point on ground easily is

Tan

Hence, option (i) is the correct answer

d)   A person of height of 2 m makes an angle of 60° from the top of statue, then the distance of that person from the bottom of statue is

Base = to be found

Perpendicular = effective height

Angle = 60°

effective height = 182 - 2 = 180m

now,

$Tan(\theta) = Perpendicular\div Base$

$Tan(60) = 180\div Base$

$\sqrt[2]{3} = 180 \div Base$

$Base = 180 \div \sqrt{3}$

on simplification we get,

$Base = 60\sqrt{3}$ ans

Answer 2

Answer:

a) Both A & B

b) 45°

c) Tan

d) 60√3

Step-by-step explanation:

(a) information that is required to find the height of the statue if not given are

(i) angle of elevation from a point on the ground

(ii) distance of the point of angle of elevation from the bottom of the statue

as tan(∅)=Perpendicular ÷Base

∅= angle of elevation

and Base is the distance of the point of angle of elevation from the bottom of the statue.

Thus, option (iii) Both A & B is the correct answer,

b) Angle of elevation = Tan(∅)

Tan(∅)=Perpendicular ÷ Base

Perpendicular = 182m

Base = 182m

∅ must be 45° for Tan(∅) to be 1

Thus option (i) 450 is the correct answer.

(c) the trigonometric ratio, which will be used to find the angle of elevation of the top of the statue from a point on the ground easily is

Tan

Hence, option (i) tan is the correct answer

d)   A person of the height of 2 m makes an angle of 60° from the top of the statue, then the distance of that person from the bottom of the statue is Base = to be found

Perpendicular = effective height

Angle = 60°

effective height = 182 - 2 = 180m

now,

Tan(∅) = Perpendicular ÷ Base

Tan(∅) = 180 ÷ Base

$\sqrt[2]{3}=100$ ÷ Base

on simplification, we get,

Base = $60\sqrt{3}$

Hence, Option (i) 60√3 m is the correct answer.

#SPJ3