Question

the height of a tower is 10 m what is the length of its shadow when sun altitude is 45

Answer 1

if the angle of elevation is 45'
then
tan45' =1 = p/b

height of tower / height of shadow = 1
h. of shadow = h. of tower
h. of shadow = 10 m

Answer 2

The height of the shadow is 10 meter.

Step-by-step explanation:

Given : The height of a tower is 10 m.

To find : What is the length of its shadow when sun altitude is 45°?

Solution :

Let the height of the shadow be 'x'.

The height of the tower is 10 meter.

The angle of sun altitude is 45°.

Then the length of the shadow is given by,

$\tan\theta=\frac{\text{Height of tower}}{\text{Height of shadow}}$

$\tan45^\circ=\frac{10}{x}$

$1=\frac{10}{x}$

$x=10\ m$

Therefore, the height of the shadow is 10 meter.

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The height of tower is 10m.what is the length of its shadow when sun's altitude is 45 degrees

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