The distance from town X to town Y is 200 km. The distance from town X to town Z is 135 km. Looking from town Y, town X and town
1 answer:
Complete question :
The distance from town X to town Y is 200 km. The distance from town X to town Z is 135 km. Looking from town Y, town X and town Z are separated by an angle of 42°. Sketch possible diagrams for this situation. Calculate the possible distances from town Y to town Z.
Answer:
166 km
Step-by-step explanation:
Given that :
X to Y = 200km
X to Z = 135 km
X and Z are separated by 42°
Using Sine rule :
x
z / sinZ = y / sinY
200/ sinZ = 135/sin42
SinZ = (200 * sin42) / 135
SinZ = 0.9913046
Sin^-1 (0.9913)
Z = 82.438
Z = 82.44
Hence,
X = 180 - (Z + Y) (angles in a triangle)
X = 180 - (82.44 + 42)
X = 55.56°
To obtain x:
x / sin X = y / sin Y
x / sin 55.56 = 135 / sin 42
x * sin 42 = sin 55.56 * 135
x = (55.56 * 135) / sin42
x = 111.33704 / 0.6691306
x = 166.39059
Hence, possible Distance from town Y to town Z= 166 km
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Question is Incomplete; Complete question is given below;
Mr. Lin hires a moving company to help transport furniture to his new home. The bill from the moving company is $400. Mr. Lin includes a 15% tip with his payment.
What is Mr. Lin’s total payment, including tip?
Answer:
Mr. Lin made a Total payment of $460 including the Tip.
Step-by-step explanation:
Given:
Total bill = $400
Percentile amount paid in tip = 15%
We need to find the total payment, including tip.
Solution:
First we will find the amount paid in Tip.
amount paid in Tip can be calculated by Percentile amount paid in tip multiplied by Total bill and then divided 100.
amount paid in Tip =
Now we know that;
Total payment made by Mr.Lin is equal to sum of Total bill and amount paid in Tip.
framing in equation form we get;
Total payment made by Mr.Lin =
Hence Mr. Lin made a Total payment of $460 including the Tip.