Using the law of sines, it is found that the distance between the kite and the dog is of 284.77 meters.
<h3>What is the law of sines?</h3>
Suppose we have a triangle in which:
- The length of the side opposite to angle A is a.
- The length of the side opposite to angle B is b.
- The length of the side opposite to angle C is c.
The lengths and the sine of the angles are related as follows:

For the situation described, we have that:
- The height is opposite to the angle of 42º.
- The 425 meters are opposite to the angle of 87º.
Hence:

Applying cross multiplication:

h = 284.77 meters.
More can be learned about the law of sines at brainly.com/question/25535771
#SPJ1
Answer:
x + y = 180
and,
x = 3y
Step-by-step explanation:
Data provided in the question:
Total area of the farm = 180 acre
x represents the acre in which corn is planted
y represents the acre in which wheat is planted
Thus,
Area of corn + Area of wheat = Total area of farm
x + y = 180 ................. (1)
also,
From the statement, farmer wants to plant three times as many acres of corn as wheat
we can conclude
Area of corn = 3 times the area of wheat
or
x = 3y ................(2)
So, we have system of linear equations that represent the situation as
x + y = 180
and,
x = 3y
Answer:

Step-by-step explanation:
Please see the attached picture for full solution.
Answer:
(a) Find the probability of type I error. = 0.1018
Step-by-step explanation:
check attachment for the answer