Find the total area of the yard in feet.
Area of a rectangle is length x width.
31 x 24 = 744
Divide the total area of the yard by the coverage of the seeds.
744/12 = 62
He will need 62 packs of seed.
Cos 52 = 0.6157
sin 42 = cos 48 = 2/3 (because 42 + 38 = 90 - complementary angles)
if tan 20,5 = 3/8 then tan 69.5 wil = 1 / 3/8 = 8/3
Answer:
(-4 , 8)
Step-by-step explanation:
The x-axis is the horizontal line. In this case, if you are reflecting over the x-axis, you are flipping the sign of the y-coordinate.
Same with the y-axis. If you are reflecting over the y-axis, you are flipping the sign of the x-coordinate.
In this case, reflect across the x-axis. Flip the sign of the y: (x , y)
(-4 , -8) reflected over the x-axis is (-4 , 8).
~
We need to solve for the height of the tree given two angles and distance between the two observers. See attached drawing for a better understanding of the problem.
We derive to equations using SOH CAH TOA such as below:
sin30 = h / x
sin 45 = h / (100-x)
sin 45 (100-x) = xsin30
70.71 - 0.71x = 0.5x
70.71 = 1.21 x
x = 58.44
Solving for h, we have:
h = xsin30
h = 58.44 sin30
h = 29.22
The height of the tree is 29.22 feet.