A stick 2 m long is placed vertically at point B. The top of the stick is in line with the top of a tree as seen from point A, w
hich is 3 m from the stick and 30 m from the tree. How tall is the tree?
1 answer:
Answer: 20 meters.
Step-by-step explanation:
1. Keeping on mind the information shown in the figure attached and the similarity of both triangles, you can calculate the height of the tree (h) as you can see below:
2. Now, you must solve for the height. So, you obtain the following result:
3. Therefore, the height of the tree is 20 meters.
You might be interested in
The <u>correct answer</u> is:
9.2 ft.
Explanation:
The distance from a point (m,n) to a line Ax+By+C=0 is given by the formula:
We first need to write our equation in the form Ax+By+C=0.
y=(-6/7)x+7
First we will add 6/7x to each side:
y+6/7x=(-6/7x)+7+(6/7x)
y+6/7x=7
Now we will subtract 7 from each side:
y+6/7x-7=7-7
y+6/7x-7=0
It will be easier to work with this equation if we do not have fractions. We can accomplish this by multiplying everything by the denominator of the fraction, 7:
y(7)+(6/7x)(7)-7(7)=0
7y+(42/7)x-49=0
7y+6x-49=0
Now we rearrange the terms to the x term is in front:
6x+7y-49=0
This is in the form Ax+By+C=0, where A=6, B=7 and C=-49.
Substituting these into our formula above along with our coordinates from our point (m,n)=(6, 14) we have:
9.2 ft.
Explanation:
The distance from a point (m,n) to a line Ax+By+C=0 is given by the formula:
We first need to write our equation in the form Ax+By+C=0.
y=(-6/7)x+7
First we will add 6/7x to each side:
y+6/7x=(-6/7x)+7+(6/7x)
y+6/7x=7
Now we will subtract 7 from each side:
y+6/7x-7=7-7
y+6/7x-7=0
It will be easier to work with this equation if we do not have fractions. We can accomplish this by multiplying everything by the denominator of the fraction, 7:
y(7)+(6/7x)(7)-7(7)=0
7y+(42/7)x-49=0
7y+6x-49=0
Now we rearrange the terms to the x term is in front:
6x+7y-49=0
This is in the form Ax+By+C=0, where A=6, B=7 and C=-49.
Substituting these into our formula above along with our coordinates from our point (m,n)=(6, 14) we have: