MHB Shadow Lengths: Friend vs Tree

[Abdullah Qureshi]

At certain time of day, the shadow of your friend who is 5 ft tall measures 8 ft. At

the same time, the shadow of a tree measures 28 ft. Draw a diagram to represent

the situation. How tall is the tree?

 

[jonah1]

Beer soaked request follows.

At certain time of day, the shadow of your friend who is 5 ft tall measures 8 ft. At

the same time, the shadow of a tree measures 28 ft. Draw a diagram to represent

the situation. How tall is the tree?

Please show us what you have tried and exactly where you are stuck.

We can't help you if we don't where you are stuck.

 

[Abdullah Qureshi]

Beer soaked request follows.

Please show us what you have tried and exactly where you are stuck.

We can't help you if we don't where you are stuck.

how to draw it and put the numbers

 

[jonah1]

Beer soaked query follows.

how to draw it and put the numbers

What did you use to type your problem?

 

[HOI]

The person and the tree are, I assume, standing upright. Draw one horizontal line representing the ground, a vertical line on that horizontal line representing the person, and a longer vertical line representing the tree. Did you really need to be told that?

Now draw lines from the top of each vertical line to the "ground", at the SAME ANGLE. That is the important part. That represents the sun's rays and the sun is at the same angle for person and tree. The distance from each vertical line to the the point where the "sun's rays" meet the "ground" is the length of the shadow.

Now, do you see that you have two "similar triangles"? What do you know about similar triangles?

(If you want to do well in mathematics you are going to have to have a lot more imagination than you have shown here!)