Question

. Find the length of the shadow of a 80 m tall tower, when the angle of elevation of the Sun is 45°.​

Answer 1

Answer:

Length of shadow = 80m

Step-by-step explanation:

P = Tower height

b= shadow of tower

Tan 45° = p/b = 80/ b

1 = 80/b

b= 80m

Answer 2

Answer:

The length of the shadow of the tower is 80 m.

Step-by-step explanation:

• The length of the shadow can be calculated by the use of trigonometry.
• Trigonometry is also used to find heights and distances.
• The trigonometric identities used are $Sin\theta, Cos\theta, tan\theta$

Step 1 of 1:

• Length of the tower =80m
• The angle of the elevation of the sun=45 degrees
• Let the length of the shadow on the ground is x

• Using the trigonometric idea of measurement of lengths,

          $tan\theta=\frac{P}{B}\\ tan45=\frac{80}{x}\\1=\frac{80}{x}\\x=80 m$

•  The length of the shadow of the tower is 80 m