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
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
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.✌️