HomeTestsSearchRankProfile
mediumMCQAIEEE 20042004Mathematics
1 attempts0% success rate3 marks (−1)

A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is and when he retires meter away from the tree the angle of elevation becomes The breadth of the river is

  1. A
    m
  2. B
    m
  3. C
    m
  4. D
    m

Solution & Step-by-step Explanation

Let be the height of the tree and be the breadth of the river.
From the first observation:
... (1).
From the second observation (retiring m further from the bank):
.
... (2).
Substitute (1) into (2):


.
The breadth of the river is m.
image

Practice this question

Try it yourself before checking the explanation above.

A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is and when he retires meter away from the tree the angle of elevation becomes The breadth of the river is
A
m
B
m
C
m
D
m

Share This Question

trigonometryheights and distances

Related Questions

easyMCQ

Let R=\(1,3), (4, 2), (2, 4), (2, 3), (3, 1)\ be a relation on the set A=\1,2,3,4\. The relation R is

easyMCQ

The graph of the function y=f(x) is symmetrical about the line x=2 then

easyMCQ

Let two numbers have arithmetic mean 9 and geometric mean 4. Then these numbers are the roots of the quadratic equation

easyMCQ

Let A=0&0&-1\\ 0&-1&0\\ -1&0&0. The only correct statement about the matrix A is

hardMCQ

If 2a+3b+6c=0, then at least one root of the equation ax^2+bx+c=0 lies in the interval

hardMCQ

Let α, β be such that π<α-β<3π. If α+β=-21/65 and α+β=-27/65, then the value of α-β/2 is

Ready for a Full Test?

Practice with timed mock tests and track your performance across Mathematics.

Browse TestsLeaderboard

Discussion