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Represent this situation on graph paper. You're behind a truck that is 30 feet in length, and 14 feet tall. A traffic signal is directly above the front of the truck, 18 feet above the ground. How far behind the truck are you if you can just see the signal, if your eye is 4 feet above the ground?

anybody have any ideas on how to solve this??

Answer 1

At the height of 14 feet from your eye level signal light can be seen. truck width is 30 feet & signal light is 4 feet above the truck.
Then apply rules of similar triangle
4/30=14/d where d denotes distance of signal light from you.

=> 4d = 30 x 14
=> d = 30/4 x 14 => 105 feet
deduct length of truck = 105-30 = 75 feet

then you are at a distance of 75 feet from the truck

Answer 2

I got approx 70 ft behind the truck, but didn't use a graph paper.

The truck is a rectangle 30 x 14 (use any scale as long as you stay constant)

On the left edge of the truck, the front, extend the height 4 ft or 4 units. That would be 18 total height.

Now draw a line 4 units or 4 ft up that is parallel to the bottom of the rectangle and extend it in back of the truck to the right

Connect the top of the 18 ft line to 4 ft line until they touch, way in back of the rectangle on the right. Where they touch is where you should see the light. I got 70 ft or units in back of the truck.

Answer 3

I drew a scaled rectangle 30 ft long and 10 feet tall. I put the signal light 4 feet above the front of the rectangle, i drew a diagonal to the other end of the truck and than I extended it, I also extended backwards the bottom of that 10 foot high diagonal. I came up with you need to be 75 feet back !

Answer 4

Graph paper is fine. You would have a line from the light to the back of the truck until an intersect at 4 feet above the ground.

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Answer 5

draw the truck and traffic light on a graph paper and join a line from the traffic light to the top at back of truck and extend the line till it is 4 ft above the bottom of truck (road level). This is the line of sight. Now measure the horizontal distance between the back of truck and the end of the sight line.
All should be to scale. Hope you can do it yourself.

Answer 6

Draw a landscape diagram... use each square to equal a foot or half foot in length.

draw the light on one edge... 18 units up from bottom.

draw a square to represent the truck... it starts at bottom of page and directly under the light. the hieght of the truck/box is 14 units tall, and the length is 30 units.

Using a ruler... draw a dashed line from the light to the top rear corner of your box/truck. Where ever this line meets with the fourth unit from the bottom is where you have to stand.

Then just draw you ( with your eyes 4 units high) and count or measure the distance between your feet and the back of the box/truck.

hope i helped

Answer 7

side view
Draw a horizontal line at 4
Draw a vertical line at thirty
Draw a line from a point on the vertical line at a height of 18 to cross the y axis at 14. Extend it till it crosses the horizontal line you drew. The distance from that point of intersection to the y axis is how far behind the truck you are.

Answer 8

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Answer 9

Yes but I can´t explain using a keyboard. The answer is 105ft from the light.

Answer 10

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