1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# Two posts are x meters apart and the height of one is double that of the other. If from the mid-point of the line joining their feet, an observer finds the angular elevations of their tops to be complementary, then the height (in meters) of the shorter post is,

A
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is C Above figure is the representation of the given question We have to find h in terms of x tanθ=h(x2)=2hx....(i) tan(90∘−θ)=cotθ=2h(x2)=4hx....(ii) Multiplying (i) and (ii), tanθ×cotθ=(2hx)×(4hx) ⇒1=8h2x2 ⇒h=x2√2

Suggest Corrections
11
Join BYJU'S Learning Program
Related Videos
Heights and Distances
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program