Question

A cable tied to an electric pole is affixed at a point on the ground a metres away from the foot of the pole to keep it upright. If the cable makes an angle θ with the ground, which of the following is the length of the cable?

atanθ

asecθ

asinθ

acosθ

Answer 1

Answer:

asec∅

Step-by-step explanation:

Imagine a pole is erect and is tied to a cable to stay erect

now the cable must be tied to the top of the tower and at a distance'a' from the bottom of the tower now the cable is said to make an angle theta with the ground so;

let us assume the length of the cable to be l

now using trigonometry

cos∅=a/l but we need l so crossmultiplying we get

l=a/cos∅ which can be written as a*1/cos∅

we know 1/cos∅=sec∅

so finally the length of cable 'l' will be asec∅

hope this helps you

please tell me how to attach pictures so I can explain you with an image also