A person who is 60in. tall casts a shadow that is 15in. long. How tall is a nearby tree that casts a shadow that is 40 in. long?
whats the answer
HELP IM STUCK DOING A ONLINE MATH TEST AND I DONT KNOW THE ANSWERS UGHHH
To find the height of the nearby tree, we can use a proportion.
First, let's set up the proportion using the height and shadow length relationship for the person and the tree:
Person's height / Person's shadow length = Tree's height / Tree's shadow length
Now, we can plug in the values we have:
60in / 15in = Tree's height / 40in
To solve for the tree's height, we can cross-multiply:
60in * 40in = 15in * Tree's height
2400in^2 = 15in * Tree's height
Next, divide both sides of the equation by 15in:
2400in^2 / 15in = Tree's height
Simplifying the left side:
160in = Tree's height
Therefore, the nearby tree is 160 inches tall.
Use a proportion.
60/15 = x/40
Cross multiply and solve for x.