Question

the top of two poles of height 16m and 10m are connected by a wire of length l metre . if wire makes an angle of 30 digree with the horizontal ,then find l.

Answer 1

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Answer 2

Answer:

The wire length is 12 m.

Step-by-step explanation:

It is given that the height of two poles are 16 m and 10m. Top of two poles of  are connected by a wire and it makes an angle of 30 digree with the horizontal.

In a right angled triangle,

$\tan \theta =\frac{perpendicular}{hypotenuse}$

It triangle ABE,

$\tan (30)=\frac{6}{l}$

$\frac{1}{2}=\frac{6}{l}$

$l=12$

Therefore the length of wire is 12 m.