Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

When a tree 8m high casts a shadow 3m ​long, how long is a shadow cast by a person 2m ​tall?

Sagot :

wegnerkolmp2741o

Answer:

3/4 meters

Step-by-step explanation:

We can use ratios to solve

8m         2 m

------- = -----------

3m         x m

Using cross products

8*x = 3*2

Divide each side by 8

8x/8 = 6/8

3/4 meters

altavistard

Answer:

x = 3/4 m

Step-by-step explanation:

Construct two similar right triangles that share an angle of elevation.  The two vertical sides represent the heights of the person and the tree and are 2 m ad 8 m respectively.  The two horizontal sides represent the shadow cast by the person and that cast by the tree, respectively.  Because the triangles are similar, we can write the following equation of ratios:

 8 m       3 m

--------- = --------

 2 m         x

... where x is the length of the shadow cast by the person.

Cross multiplying, we get:

8x = 6m, or x = 6/8 m, or x = 3/4 m

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.