Maharashtra State Board course SSC (English Medium) Class 10th Board Exam
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A Person is Standing at a Distance of 80 M from a Church Looking at Its Top. the Angle of Elevation is of 45°. Find the Height of the Church. - Geometry

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Question

A person is standing at a distance of 80 m from a church looking at its top. The angle of elevation is of 45°. Find the height of the church.

Solution

Let AB be the church and C be the position of the person from the church.  
Suppose the height of the church be h m. 

In right ∆ABC,
\[\tan45^\circ = \frac{AB}{BC}\]
\[ \Rightarrow 1 = \frac{h}{80}\]
\[ \Rightarrow h = 80\]  m

Thus, the height of the church is 80 m.

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APPEARS IN

 Balbharati Solution for Balbharati Class 10 Mathematics 2 Geometry (2018 to Current)
Chapter 6: Trigonometry
Practice set 6.2 | Q: 1 | Page no. 137
Solution A Person is Standing at a Distance of 80 M from a Church Looking at Its Top. the Angle of Elevation is of 45°. Find the Height of the Church. Concept: Heights and Distances.
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