Answer:
32.7°
Step-by-step explanation:
Use the formula for law of cosines, for this question we need so solve for angle B, so use...
b² = a² + c² - 2(a)(c)Cos B
We are given a, b, and c, so plug them in...
55² = 90² + 50² - 2(90)(50)Cos B
Now simplify...
3,025 = 8100 + 2500 - (9000)Cos B
-7,575 = -(9000)Cos B (subtract 8100 and 2500 from both sides)
0.841666667 = Cos B (divide both sides by -9000)
Cos^(-1) 0.841666667 = B (use cosine inverse function on calculator)
32.68346376° = B
32.7° = B
Answer:
Option B
Step-by-step explanation:
A unit circle means radius of the circle = 1 unit
Let a terminal point on the circle is (x, y) and angle between the point P and x-axis is θ.
Center of the circle is origin (0, 0).
Therefore, ordered pair representing the terminal point will be (OP×Cosθ, OP×Sinθ) =
OP.Cosθ = 1×Cosθ =
Cosθ =
θ = , where n = integers
Similarly, OP×Sinθ = 1×Sinθ = -
Sinθ = -
θ = , where n = integer
Common value of θ will be, θ =
Option B will be the answer.
<u>Solution</u><u> </u><u>:</u><u>-</u>
Here we can see that ∠b is vertically opposite to 68° angle and we know that vertically opposite angles are equal.
So , the measure of ∠ b will also be equal to 68° .
More to know :
- Alternate Interior angles are equal.
- Corresponding angles are equal.
- Sum of co - interior angles is 180° .
- Alternate exterior angles are equal.
- Measure of angle of straight line is 180°.
- Vertically opposite angles are equal.
Using ratios, 9 : 24
Find ? : 40
Solving Steps-
40 / 24 = 1 2/3
1 2/3 • 9 = 15
ANSWER is 15 L