Question
A kite and a height of 75 meters from the ground is attached to a string inclined at 60 degrees to the horizontal. How do you find the length of the string to the nearest meter?
Answers
Steve
the easy way is to remember that the sides of a 30-60-90 triangle are in the ratio
1:√3:2
You have a long side of 75, so the other two sides are
75/√3,75,150/√3
The string is the long side.
Or, using trig, the length of the string, x, is found using
75/x = sin 60°
1:√3:2
You have a long side of 75, so the other two sides are
75/√3,75,150/√3
The string is the long side.
Or, using trig, the length of the string, x, is found using
75/x = sin 60°
Christie
I divided sin 60 degrees and 75 and got 0.0115.
Reiny
Didn't that answer strike you as totally unreasonable?
How can the kite-string be only 1 cm long ??
Steve told you : 75/x = sin 60°
so x sin60 = 75
x = 75/sin60 = appr 86.6 metres
How can the kite-string be only 1 cm long ??
Steve told you : 75/x = sin 60°
so x sin60 = 75
x = 75/sin60 = appr 86.6 metres
Christie
Yes it did. I just wasn't familiar with the concept but thanks.
Christie
Oh the mistake was me putting sin60 over 75. I understand the concept.