Tree casts a shadow 30 feet long. A MHS student standing near the tree casts a shadow 9 feet long. The student is 6 feet tall. What is the height of the tree? Show all work
<em><u>Answer:</u></em>
Option D
The height of tree is 20 feet tall
<em><u>Solution:</u></em>
From given question,
Shadow of tree = 30 feet
Height of tree = ?
Height of student = 6 feet
Shadow of student = 9 feet
We have to find the height of tree
We can solve the sum by proportion
This forms a proportion and we can solve the sum by cross multiplying
Thus height of tree is 20 feet tall
8 +7m=6m (combine like terms)
8=-m ( subtract 7m on both sides)
m=8 (divide by -1)
5=-1+2n ( subtract 2n on both sides)
6=2n (add 1 on both sides)
3=n (divide by 2 on both sides)
-3 I think because 9x3= 27 so 9x-3= -27
You can do a proportion: 75/15 = x/100
you then do 100x75 and the divide by 15 and get 500.
15% of $500 is $75 so the sale price would be $425 I believe.
Answer: Line DB
Think of the two planes as pages in a book. They are joined by the spine, which is where the two planes intersect. In this case, that intersection is the line DB.
Point D is on both planes R and S. So is point B. Every point on line DB is found on both planes.
