Answer:
Amount of string let out by Jim will be 156.9 m.
Step-by-step explanation:
Distance between Jim and Patty = 200 m
Angle of elevation of the kite from Jim = 85°
Angle of elevation of the kite from Patty = 40°
Angle between the lines joining Jim and kite and Patty and the kite = 180° - (85 + 40)° = 55°
By applying Sine rule in the triangle formed by the kite, Jim and Patty,
x =
x = 156.94
≈ 156.9 m
Therefore, amount of string let out by Jim will be 156.9 m.
Answer: C
Explanation:
Test A.
The left side is
tan(x - π/4) = [tan(x) - tan(π/4)]/[1 + tan(x)*tan(π/4)]
= [tan(x) - 1]/[1 - tan(x)]
= -1
This is not equal to the right side.
Statement A is not an identity.
Test B.
The right side is
sin(x+y)/(sinx siny) = [sin(x)cos(y) + cos(x)sin(y)]/[sin(x)sin(y)]
= cot(y) + cot(x) = 1/tan(y) + 1/tan(x)
= [tanx + tany]/[tan(x)tan(y)]
This is not equal to the left side.
Statement B is not an identity.
Test C.
The right side is
[sin(x)cos(y) - cos(x)sin(y)]/[cos(x)cos(y)]
= sin(x)/cos(x) - sin(y)/cos(y)
= tan(x) - tan(y)
Ths equals the left side.
Statement C is an identity.
Test D.
The left side is
cos(x)cos(π/6) - sin(x)sin(π/6)
= (√3/2)cos(x) - (1/2)sin(x).
The right side is
sin(x)cos(π/3) - cos(x)sin(π/3)
= (1/2)sin(x) - (√3/2)cos(x)
The two sides are not equal.
Statement D is not an identity.
Alabama: 22,100
Tennessee: 21,900
Can I have brainlyest please?
Answer:
B
Step-by-step explanation: