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yuvraj2298
09.11.2019 •
Mathematics
Swanson plans to attempt to swim across the lake from point a to point b as shown below. to determine how far he will have to swim, he has chosen a point c and calculated the labeled data.
how many miles will he have to swim? round your answer to two decimal places.
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Ответ:
2.38 miles
Step-by-step explanation:
From Given diagram:
In ΔABC,
AC=2.5 miles
BC= 3.7 miles
∠BCA= 39.4°
Now as we have two sides and an angle, using law of cosines to find the third side:
c= √(a^2+b^2-2abcosα
AB=√(AC)^2 + (BC)^2 - 2(AC)(BC)cosα
=√(2.5)^2 + (3.7)^2 - 2(2.5)(3.7)cos(39.4°)
=√(2.5)^2 + (3.7)^2 - 2(2.5)(3.7)(0.77)
=√(5.695)
= 2.38 !
Ответ:
2.7 years
Step-by-step explanation: