Krishna
0

Step 1: Analyse the given information and draw a figure by using the given measurements.

NOTE: The height of the statue AB  = h

Height of the pedestal  BC = 2 m

The angle of elevation of the top of the statue = 60 \degree

The angle of elevation of the top of the pedestal  = 45 \degree

Step 2:  Find the height of the statue by using the suitable trigonometric ratios.

Height of the statue AB = AC  - BC

Determine the length of the AC:

NOTE:    From triangle BCP

\tan 45 \degree = \frac{opposite}{adjacent} = \frac{BC}{PC}

\tan 45 \degree = \frac{2}{PC}

1 = \frac{2}{PC}  ( \because \tan 45 \degree = 1 )

PC  =  2 m..............(1)

From triangle ACP

\tan 60\degree = \frac{opposite}{adjacent} = \frac{AC}{PC}

\tan 60\degree = \frac{AC}{2}    (Since, equation (1))

\sqrt{3} = \frac{AC}{2} (\because\tan60\degree=\sqrt{3}

AC = 2\sqrt{3}

Height of the statue AB = AC - BC

AB = 2\sqrt{3} - 2

AB = 2(\sqrt{3} - 1)

AB = 2(1.732 - 1)

AB = 2(0.732)

AB = 1.464  m

Sarvisetty Seshank
0
Super
Sarvisetty Seshank
0
Tq for you