Sheila plans to row across the lake from point A to point B as shown below.
1 answer:
Answer: 15.58 miles
Step-by-step explanation:
Given two sides and an included angle, segment AB can be calculated using the cosine rule :
Given a = 15.6 miles, b = 12.3 miles and C=α=66.7°
To find c:
c= √(a^2+b^2-2abcosα
c = √ 15.6^2 + 12.3^2 -(2 × 15.6 × 12.3)cos66.7°
c = √243.36 + 151.29 - 151.79454
c = √242.85545
c = 15.583820
c = 15.58 miles
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Answer:
The Value of .
Step-by-step explanation:
We have Named the figure please find the attachment for your reference.
Given:
PR = y
QR = a
RS = b
PS = z
PQ = x
QS = 15
∠P = 90°
∠R = 90°
∠Q = 60°
∠S = 30°
We need to find the Value of 'a'.
Solution:
Now we know that:
In Δ PQS
∠P = 90°
∠S = 30°
Now we know that;
Substituting the given values we get;
Now we know that;
So we can say that;
Now In Triangle PQR.
∠R = 90°
∠Q = 60°
So we can say that;
Substituting the given values we get;
Now we know that;
So substituting the values we get;
By Using Cross Multiplication we get;
Hence The Value of .
