A. The angle formed with the ground would be calculated using sin x = 20/24.
sin^-1(20/24) = 56 degrees.
b. The angle formed with the house would be calculated using cos y = 20/24.
cos^-1 (20/24) = 34 degrees.
c. The distance the ladder was placed from the house can be calculated using Pythagorean Theorem or Cos 56 = b/24.
24cos56 = b. b = 13
Answer:
-6x
Step-by-step explanation:
A. C (6) = 15.24; C 11 = 22.09.
C (6) represents the cost, $15.24, of delivering flowers to a destination that is 6 miles
from the shop.
C (11) represents the cost, $22.09, of delivering flowers to a destination that is 11 miles
from the shop.
b.
You have to Multiply times 3...
12•3=36
36/12=3
Answer:
311.41 degrees
Step-by-step explanation:
If 4 sin Ф = -3 and Ф is between 0 and 360 degrees, then we conclude that Ф must be either in Quadrant III or Quadrant IV (because the sine is negative).
Let's assume we're in Quadrant IV. Then sin Ф = opp / hyp = -3/4; that is, the opp side is negative and has length 3, and the hypo is positive 4.
According to the Pythagorean Theorem, (-3)^2 + x^2 = 4^2, or,
x^2 = 16 - 9 = 7.
Then x is either √7 or -√7.
To find the angle Ф, use the inverse sine function:
Ф = arcsin (-3/4). Using a calculator we get the angle -40.59 degrees, which corresponds to (360 degrees - 40.59 degrees), or 311.41 degrees. We can check this by finding the sine of 311.41 degrees; the result is -0.75, which matches "If 4sintheta = -3."
