Math, asked by deepeshdewang, 10 months ago

The length of the shadow ofa 120 cm high pole is 102 cm. Find the: (a) length of the ahadow of a 360 cm high pole. (b) height of a pole that has a shadow of 229.5 cm.

Answers

Answered by spiderman2019
8

Answer:

a) 306 cm b)270 cm

Step-by-step explanation:

Imagine a right angled triangle with height of pole = 120 cm and base = 102 cm.

Tanθ = opposite side to θ/Adjacent side to θ = 120/102. now use this to solve.

a) Height of pole = 360 cm. let x be length of shadow.

We know Tanθ = opposite side to θ/Adjacent side to θ = 360/x

120/102 = 360/x (∵ Tanθ = 120/102)

=> x = 3*102 = 306 cm.

a) Length of Shadow = 229.5 cm. let h be height of pole.

We know Tanθ = opposite side to θ/Adjacent side to θ = h/229.5

120/102 = h/229.5 (∵ Tanθ = 120/102)

=> h = 120 * 229.5 / 102 = 270 cm.

Answered by rishu6845
11

Answer:

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