The angle of elevation of the top of a tower from a point on the ground, which is 30m away from the foot of the tower is 30 ∘ . Find the height of the tower. Options: A . &nbsp10√3 m B . &nbsp20√3 m C . &nbsp30√3 m D . &nbsp20 m

Answer: Option A : A Angle of elevation = θ = 30 ∘ ⇒ t an θ = P e r p e n d i c u l a r B a s e ⇒ tan θ = h 30 ⇒ tan 30 ∘ = 1 √ 3 ⇒ h 30 = 1 √ 3 Therefore, h = 10 √ 3 m .

The angle of elevation of the top of a tower from a point on the ground, which i

Question

The angle of elevation of the top of a tower from a point on the ground, which is 30m away from the foot of the tower is

30^{\circ}

. Find the height of the tower.

Options:

A . 10√3 m

B . 20√3 m

C . 30√3 m

D . 20 m

Answer: Option A
:
A

Angle of elevation =

θ

30^{\circ}

\Rightarrow

tan

θ

\frac{P e r p e n d i c u l a r}{B a s e}

\Rightarrow

tan

θ

\frac{h}{30}

\Rightarrow

tan

30^{\circ}

\frac{1}{\sqrt{3}}

\Rightarrow

\frac{h}{30}

\frac{1}{\sqrt{3}}

Therefore,

h = 10 \sqrt{3} m

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