Question

c ) If the ratio of the height of two trees is 3: 1, then the shadow of the smaller tree is * 1 point 8/3 2 6 8​

Answer 1

Answer:

Let the height of tower.AB=hm

The length of shadow BC=xm

According to given question,

BCAB=13

xh=13

We know that,

In ΔABC,

BCAB=tanθ

tanθ=xh

tanθ=13

tanθ=3

tanθ=tan60o

θ=60o

Hence, the angle of elevation is 60o.



Answer 2

Given: If the ratio of the height of two trees is 3: 1.

To find: The shadow of the smaller tree.

Solution:

As evident from the question, the height of the second tree must be three times the first one. This means that the height of the shadow of the second tree should be three times the height of the shadow of the first tree.

So now, the shadow of the smaller tree has to be a multiple of 3. From the given options, 8/3 is not a multiple of three. Also, 2 and 8 are not a multiple of 3. But the number 6 is a multiple of 3.

Therefore, the shadow of the smaller tree is 6 units.