Answer:
82.8424 feet
Step-by-step explanation:
The leaf, the base of the tree and the top of the tree form a triangle.
The adjacent cathetus to the 46 degrees angle is 80 feet. The opposite cathetus to the 46 degrees angle is the tree height that we want to know. So, using the relation between the opposite cathetus and the adjacent cathetus (so the tangent of the angle), we can find the tree height (h):
tan(46) = h/80 = 1.0355
h = 80*1.0355 = 82.8424 feet
You will get paid $323.75 if you work 35 hours and get paid $9.25 per hour
Answer:
a = 15
Step-by-step explanation:
The answer is 2/3 because 3/8x16/9= 2/3
Assuming that both triangles are an exact copy of one another, it is safe to assume that 3y-7 is equal to 41. Set up an equation
3y-7=41
Add 7 to both sides
3y=48
Divide both sides by 3
y=16
Now to find PN.
Based on what we know, we can assume that MP = PN. Let's make some equations!
MP = 17x-8 PN = 11x+4
17x-8 = 11x+4
Subtract 11x from both sides
6x-8 = 4
Add 8 to both sides
6x = 12
Divide by 2
x=2
Substitute 2 in for x in the equation for PN
11(2)+4
Multiply 11 by 2
22+4 = 26
PN = 26
