Question

The height of a tower is 12 m. What is the length of its shadow when 10 Sun’s altitude is 45°? Solution:​

Answer 1

Explanation:

Let AB be the tower.

Then ∠C = 45°, AB = 12m

tan 45° =

$\boxed{\frac{AB}{BC} = \frac{12}{BC} \implies 1 = \frac{12}{BC}}$

BC = 12m.

Therefore, The length of the shadow is 12 m.

Answer 2

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The length of its shadow is 12 ᴍᴇᴛʀᴇ.

Assuming AB as the height of the tower.

ᴛᴀɴ 45 ° = ᴀʙ / ʙᴄ

ʙᴄ = 12 ᴍᴇᴛʀᴇ ( ꜱɪɴᴄᴇ ᴛᴀɴ 45 ° = 1 )

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