Answer:
19.08
Step-by-step explanation:
c² = a² + b² - 2ab×cos(C)
a=10
b=22
C=60
cos(60) = 0.5
c² = 10² + 22² - 2×10×22×cos(60) =
= 100 + 484 - 20×22×0.5 = 584 - 20×11 = 584 - 220 =
= 364
c = sqrt(364) ≈ 19.08
Answer:
5 inches
Step-by-step explanation:
See attachment for explanation.
Answer: 1/2+11/3 = 4.1*6
Step-by-step explanation:
Answer:
I think positive
Step-by-step explanation:
Answer: option C
Step-by-step explanation:
The diagram of the triangle is shown in the attached photo. The triangle is a right angle triangle ABC
Assuming the given angle is #,
Recalling the trigonometric ratio,
tan # = opposite / adjacent
If tan # = 4, it means
opposite / adjacent = 4/1
Therefore, opposite = 4 and adjacent = 1
Applying Pythagoras theorem,
Hypotenuse^2 = opposite ^2 + adjacent ^2
Hypotenuse = AC
Opposite = 4
Adjacent = 1
AC^2 = 4^2 + 1^2 = 17
AC = ± √17
To determine cos #, we would apply another trigonometric ratio,
Cos# = adjacent /hypotenuse
Cos# = 1/±√17
Cos # =-1 /√17 or 1/√17