Question

Satya observed the top of an angle
of elevation of 60° when the observation
point was 5m away from the foot
of the tree draw a diagram for this data.​

Answer 1

Given:

Angle of elevation, θ = 60°

The distance between the observation point and the foot of the tree = 5 m

To find:

Draw a diagram for this data

Solution:

The figure satisfying the data is being attached below.

From the figure attached below we have,

AB = height of the tree

C = point of observation

BC = the distance between the observation point and the foot of the tree

∠ACB = 60° = angle of elevation

The formula to be used:

Trigonometric ratios of the triangle: tan θ = $\frac{perpendicular}{base}$

Considering Δ ABC, we have

AB = perpendicular

BC = base

θ = 60°

∴ tan 60° = $\frac{AB}{BC}$

⇒ √3 = $\frac{AB}{5}$

⇒ AB = 5√3 m

Thus, the height of the tree is 5√3 m.

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