Two men are standing on either side of a cliff 90m high observes the angle of elevation of top of the cliff to be 30degree and 60 degree respectively. Find the distance between two men
Answers
Answer:
Step-by-step explanation:
The distance between two men is 208.84 m
Given:
height of the cliff = 90m
The angle of elevation at top of the cliff in first-person
= 30°
The angle of elevation at top of the cliff at
second-person = 60°
To Find:
The distance between two persons
From point (1)
tan(60°) = height of the cliff/distance of 1st person from
cliff
= Distance Of 1st person = height of cliff/ tan(60°)
= Distance Of 1st person = 90/√3
From point (2)
tan(30°) = height of the cliff/distance of 2nd person
from cliff
= Distance Of 2nd person = height of the cliff /tan(30°)
= Distance Of 2nd person = 90/1/√3
= Distance Of 2nd person = 9√3
Total distance between the two men is
Distance Of 1st person from the cliff + Distance Of 2nd
person from the cliff
= 90/√3 + 90√3
= 90+270/√3
= 360/√3 + √3/√3
= 208.84 m
Hence,
The distance between two men is 208.84 m