In the triangle ABC if angle A is 20 degrees, angle B is 35 degrees and the side between (side C) them is 100, what is the appro
ximate length of side a?
1 answer:
Answer:length of side a is 42
Step-by-step explanation:
The given triangle ABC is shown in the attached photo. The length of side BC is a. The length of side AC is b and the length of side AB is c = 100
The sum of the angles in a triangle is 180 degrees. Therefore.
Angle A + angle B + angle C = 180. Therefore,
20 + 35 + angle C = 180
55 + angle C = 180
Angle C = 180 - 55 = 125 degrees. To determine the length if a, we would apply the sine rule which is expressed as
a/SinA = b/SinB = c/SinC
Therefore,
a/Sin20 = 100/Sin125
aSin125 = 100sin20
a × 0.8192 = 0.342 × 100
0.8192a = 34.2
a = 34.2/0.8192
a = 41.75
Approximately 42
You might be interested in
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.
Step-by-step explanation:
From the question we are told that
The population mean is
The sample size is n = 25
The sample mean is
The standard deviation is
Let assume the level of significance of this test is
The null hypothesis is
The alternative hypothesis is
Generally the degree of freedom is mathematically represented as
=>
=>
Generally the test statistics is mathematically represented as
=>
=>
Generally from the student t distribution table the probability of obtaining to the right of the curve at a degree of freedom of
is
From the value obtained we see that hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.