Question

A circus artist is climbing from the ground along a rope stretched 'from the top of vertical pole and tied at the ground. The height of the pole is 12 m and the angle made by the rope with ground level is 30°. Calculate the distance covered by the artist in climbing to the top of the pole.​

Answer 1

Required question :-

a circus artist is climbing from the ground along a rope stretched from the top of a vertical pole and tied at the ground . The height of the pole is 12m and the angle made by the rope with ground is 30° 1) calculate the distance covered by the artist in climbing the top of the pole. 2) which mathematical concept is used in this problem. 3) What is its value.

Given :-

$\bigstar$ ∠ ACB = 30°

$\bigstar$ In ∆ ABC ,

• AB = 12 cm
• AC = x

Solution :-

Sin 30° = $\frac{AB}{AC}$

$\frac{1}{2}$ = $\frac{12}{AC}$

$\longrightarrow\rm{ AC = 24 cm}$

Therefore,

Distance covered by circus artist is 24 cm .

Note :-

$\bigstar$ The consept used is trignometric ratios .

$\bigstar$The value of this consept is used to find the height of AB

_____________________