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A Boy is 1.54 M Tall. Standing at a Distance of 3m in Front of a 4.54 M High Wall He Can Just Manage to See the Sun. Find the Angle of Elevation of the Sun. - Mathematics

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प्रश्न

A boy is 1.54 m tall. Standing at a distance of 3m in front of a 4.54 m high wall he can just manage to see the sun. Find the angle of elevation of the sun. 

योग

उत्तर

Let the position of the boy be at point T and P be the position of the sun. 
BR = TQ = 3m 
PQ = 4.54 m 
BT = 1.54 m
.·.PR = 4.54 m - 1.54 m = 3 m 

In ΔPRB 

`"PR"/"BR" = tan θ`

`3/3 = tan θ`

tan θ = 1

We know that tan 45° = 1. 

Thus, the angle of elevation is θ = 45°. 

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Heights and Distances - Solving 2-D Problems Involving Angles of Elevation and Depression Using Trigonometric Tables
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 22: Heights and Distances - Exercise

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फ्रैंक Mathematics - Part 2 [English] Class 10 ICSE
अध्याय 22 Heights and Distances
Exercise | Q 21

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