Math, asked by chandanarajput, 1 year ago

if the shadow of the tower is 30 M long when the sun's elevation is 30° what is the length of the sun Shadow when Sun's elevation is 60 degree​

Answers

Answered by wifilethbridge
4

The length of shadow is 10 m

Step-by-step explanation:

The shadow of the tower is 30m

The sun's elevation is 30°

Tan \theta = \frac{Perpendicular}{base}\\Tan 30^{\circ}=\frac{\text{Height of tower}}{\text{Shadow of tower}}\\\frac{1}{\sqrt{3}}=\frac{\text{Height of tower}}{30}\\\frac{1}{\sqrt{3}} \times 30=\text{Height of tower}\\10\sqrt{3}=\text{Height of tower}

Now we are supposed to find the length of the sun Shadow when Sun's elevation is 60 degree​

So, Tan 60^{\circ}=\frac{10\sqrt{3}}{\text{Length of shadow}}\\\sqrt{3}=\frac{10\sqrt{3}}{\text{Length of shadow}}\\\text{Length of shadow}=\frac{10\sqrt{3}}{\sqrt{3}}\\\text{Length of shadow}=10 m

Hence The length of shadow is 10 m

#Learn more:

The shadow of the pole is 5m long when the angle elevation of the sun is 60. Find the length of the shadow when the angle of elevation of the sun is 45

https://brainly.in/question/13494445

Answered by lubnamalek1980
3

Step-by-step explanation:

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