Question

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

Answer 1

Final Answer : 80 m

Let the height of the church be 'h'm. (AB)
Person is at point C which is 80m from the church AB.
Then, By Apllications of Trigonometry,

$\tan(45 \degree) = \frac{h}{80} \\ = > h = 80 \times 1 = 80m$
Hence, the height of church is 80m.

Answer 2

Answer:

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

height of church = 80 m

Step-by-step explanation:

person is standing at a distance of 80m

so base = 80 m

Angle of elevation = 45°

Tan θ = Perpendicular / Base

=> Tan 45° = Height of church / Distance from Church

=> 1 = Height of church / 80

=> Height of church = 80 m