Question

the tops of two poles of height 16m and 10m are connected by a wire . If the wire makes an angle of 30 with the horizontal , then the length of the wire ... ??

Answer 1

this is the answer of the question

Answer 2

Answer:

12 m

Step-by-step explanation:

Refer the attached figure

Length of pole AB = 16 m

Length of pole CD = 10 m

AC is the wire

The wire makes an angle of 30 with the horizontal(EC) i.e.∠ACE=30°

EB = CD =10 m (refer the figure)

So, AE = AB -EB = 16-10 = 6 m

Now In ΔAEC

$sin \theta = \frac{Perpendicular}{Hypotenuse}$

$sin 30^{\circ} = \frac{AE}{AC}$

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

$AC = 12$

Hence the length of the wire is 12 m