Math, asked by krishnapriya2309, 11 months ago

A statue of height 6 meters stands on top of a pedestal from a point on the ground the angle of elevation of the top of the statue is 60 and from the same point the angle of elevation of the top of the pedestal is 30 find the height of the pedestal

Answers

Answered by wajahatkincsem
1

The height of the pedestal is 12 m.

Step-by-step explanation:

Given data:

  • Height of statue = 6 m
  • Top of statue = 60 m
  • Angle of elevation = 30 degree

Solution:

Tan (30°) = 6 / x

1 / √3 = 6 / x

Tan (60°) = 6 +h / 6√3

√3 = 6 + h / 6√3

6 √3 + √3 = 6 + h

6 x 3 = 6 + h

h = 18 - 6 = 12 m

Hence the height of the pedestal is 12 m.

Also learn more

A statue 1.6 M tall stands on the top of the pedestal . from a point on the ground the angle of elevation of the top of the statue is 60° and from the same point the angle of elevation of the top of the pedestal is 45° find the height of the pedestal ?

https://brainly.in/question/1592190

Answered by 2008shrishti
1

Answer:

The height of the pedestal is 12 m.

Step-by-step explanation:

Given data:

Height of statue = 6 m

Top of statue = 60 m

Angle of elevation = 30 degree

Solution:

Tan (30°) = 6 / x

1 / √3 = 6 / x

Tan (60°) = 6 +h / 6√3

√3 = 6 + h / 6√3

6 √3 + √3 = 6 + h

6 x 3 = 6 + h

h = 18 - 6 = 12 m

Hence the height of the pedestal is 12 m.

Step-by-step explanation:

Hope this answer will help you.✌️

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