When the height of a tree is equal to the length of its shadow, what is the angle of elevation of the sun?

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Bihar STET TGT (Sanskrit) Official Paper-I (Held On 11 Sept, 2023 Shift 1)
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  1. 300
  2. 600 
  3. 900 
  4. 450

Answer (Detailed Solution Below)

Option 4 : 450
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Bihar STET Paper 1 Mathematics Full Test 1
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Detailed Solution

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Formula:

tan θ = Perpendicular/Base

Calculation:

F1  Maanik.G 18-07-2020 Savita D1

Let the height of the tree be x

⇒ Length of the shadow of three = x

From the following figure,

AB is the height of the tree and BC is shadow of the tree.

⇒ AB = x and BC = x

tan C = AB/BC

⇒ tan C = x/x

⇒ tan C = 1

⇒ tan C = tan45°

⇒ C = 45°

∴ The angle of elevation of the sun 45°.

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