the answer you are looking for is 4.5
MP = 26
if we say that MN = x
here we have
and MP = MN + NP
The answer to this equation is: 3½ = x.
The tree is approximately 91.2 ft tall.
- angle of elevation = 69 degrees
- there is a point 35 feet from the tree
If we were to draw this out, it would appear to be a right angle triangle. See the picture below.
Now, to solve for the height of the tree, we can use the sine law:
where <em>a </em>and <em>b</em> are two sides of a right triangle and <em>A</em> and <em>B</em> are the respective opposite angles
Let the height of the tree = h.
Side <em>h</em> is opposite of the angle measuring 69 degrees:
Let the angle opposite of the side measuring 35 feet = A.
Because the sum of a triangle's interior angles is 180 degrees, we know that A=180-90-69=21 degrees.
Use the sine law:
Therefore, the tree is approximately 91.2 ft tall.
I hope this helps!
18 and 42 are both multiples of 6, and when I add them, I also get a multiple of 6:
Explain to Nina why adding two multiples of 6 will always result in another multiple of 6.
18 and 42 are both multiples of 6 which means 6 is a factor of both numbers.
When you add 18 and 42, you can use the distributive property to show that the sum is also a multiple of 6: