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

From a point on a bridge across a river, the angles of depression of the banks on opposite sides of the river are 30 and 45, respectively. If the bridge is at a height of 6 m from the banks, find the width of the river.


A

6 m

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

63 m

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

33 m

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

(6+63) m

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D

(6+63) m


The situation can be represented by the figure below. PQ is the bridge and BD is the river with B and D as two banks.

PAD=ADC and QAB=ABC (Alternate angles)

tan ADC=ACDC= tan 45tan 45=6DCDC=6 mAlso, tan ABC=ACBC

BC=ACtan ABC=6tan 30=63 m

Width of river=BC+DC=6+63=6(3+1) m


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Questions
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon