What's the Speed of the Bird Flying at a 60-Degree Angle?

AI Thread Summary
The problem involves a man running at 120 m/h directly below a bird flying at a 60-degree angle to the horizontal. To find the bird's speed, a triangle is drawn where the base represents the man's speed. Using the tangent function, the height of the triangle is calculated as 120 times the square root of 3. Applying the Pythagorean theorem reveals that the bird's speed is 240 m/h. The discussion highlights the importance of understanding 30-60-90 triangles for simplifying such calculations.
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Homework Statement


speed of man=120m/h
angle of bird flight with ground=60 degrees.

Homework Equations


A man on the ground sees a bird flying at angle of 60 degrees with horizontal.He started running at 120m/hour,is able to stay directly below the bird.What's bird speed?

The Attempt at a Solution



I've vainly tried to solve it by using vectors.But I'm uncertain how it'd be solved?
 
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draw a triangle. the base is 120 for the man. if they are moving to the right, the angle is 60 upward to the right. the tangent of that angle is tan 60 = x/120. Therefore the equation is 120 tan 60 = x = 120 radical 3. then do Pythagorean theorem to find the hypotenuse (or flight of the bird) is 240.
( if you know the way 30-60-90 triangles work, you wouldn't need all that work)
 
Thanks for nice help.U've pointed me in the right direction.
 

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