Question

The height of a tower is 13m. What is the length of its
shadow when sun's altitude is 45°?​

Answer 1

✬ Shadow = 13 m ✬

Step-by-step explanation:

Given:

• Height of tower is 13 m.
• Altitude of sun is 45°.

To Find:

• What is the length of shadow?

Solution: Let the length of shadow be BC m. Such that

• BC = x ( Length of shadow, Base )

• AB = 13 m ( Tower's height,Perpendicular )

• ∠ACB = 45° ( Sun's altitude )

➟ Angle of elevation of sun = 45° and

➟ tan45° = 1

As we know that

★ tanθ = Perpendicular/Base ★

$\implies{\rm }$ tan45° = AB/BC

$\implies{\rm }$ 1 = 13/x

$\implies{\rm }$ 1 $\times$ x = 13

$\implies{\rm }$ x = 13 m

Hence, the length of the shadow of tower is x = 13 m.

Answer 2

Answer:

☞length of shadow is 13cm☜

Step-by-step explanation:

given

• height if tower is 13cm
• altitude of sun is 45°

to find

• what is the length of shadow ?

solutions

☛Let the length of shadow be BC m such that

➪ BC = x(Length of shadow,Base)

➪ AB = 13cm ( Tower's height,perpendicular)

➪ ∠ACB = 45° ( sun's altitude)

➠ Angle of elevation of sun is 45°

➠ tan45° .=1

☛ tanΘ = perpendicular / base

➾ tan45° = AB/BC

• 1 = X/ 13
• X= 13

HENCE THE LENGTH OF THE SAHDOW OF TOWER IS x= 13