How do I solve this problem? 3? - labeled picture of a speed boat
A street light at the top of the mast 15 meters high. A woman of 6 feet from the pole with a speed of 7 m / sec on a straight path. What speed is the tip of his shadow moving when he is 35 meters from the base of the post?
Note: You need a picture of a triangle with the vertical part, which represent the poles and the other end of the hypotenuse of the tip of the shadow to pull the woman. Where women fit into this picture? Positioning the brand as a variable, and the label on the tip of her shadow as another variable. You can use similar triangles to find a relationship between these two variables.
1 comment:
There are two similar triangles:
The base of the triangle is the largest online over the head pole (35 ').
The longest side of the triangle is a line from that point on the top of the mast (15'-6 '= 9 ").
The base of the triangle is the smallest line from the tip of his shadow, to the point where the ground under the head (x).
The short side of the triangle is the line that the height (6 ').
Because it is similar triangles:
(Lesser Town) / (long side) = (small base) / (large base)
6 / 9 = X/35
x = 6 / 9 (35)
x = 23.33
The tip of his shadow stretches 23.33 'next to his 35' 23.33 "= 58.33" past the pole position.
Since this is the way to 7 '/ s during the entire period:
A 35 "that went for 35 '/ 7' / s = 5 seconds.
The tip of his shadow is gone at 58.33 5 seconds, which is:
58.33 '/ 5 seconds = 11.67 "/ sec at this time.
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