Math, asked by ch4uwaryam2itma, 1 year ago

a vertical tower stands on a horizontal plane and is surmounted by a veritical flagstaff of height 5m from a point on the plane the angle of evlevation of the bottom and top of the flagstaff are respectively 30deg and 60deg . find the height of the power

Answers

Answered by santy2
520
See the attached file for solution. Thanks
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Answered by skyfall63
239

The height is 2.5 m

Given:

Height of flagstaff = 5 m

Step-by-step explanation:

Let the height of the tower be h meters.

The following is the figure for the given problem.

We know that,

\tan \theta=\frac{\text {Adjacent side}}{\text {Opposite side}}

From triangle ABC,

\tan 30=\frac{h}{B C}

h=B C\left(\frac{1}{\sqrt{3}}\right)

B C=\sqrt{3}(h)

From triangle PBC,  

\tan 60=\frac{P B}{B C}

\sqrt{3}=\frac{\mathrm{h}+5}{\mathrm{BC}}

B C \sqrt{3}=\mathrm{h}+5

On substituting the value of BC, we get,

\sqrt{3} h(\sqrt{3})+5

3 h=h+5

2 h=5

h=\frac{5}{2}

\therefore h=2.5 \ \mathrm{m}

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