Triangle JKL has the dimensions shown.
37 cm
12 cm M
35 cm
Part A
What is KM rounded to the nearest hundredth cm ?

Part B
What is the perimeter of triangle JKL
rounded to the nearest hundredth cm?

Triangle JKL has the dimensions shown. 37 cm 12 cm M 35 cm Part A What is KM rounded to the nearest

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Ответ:

tylermdons

13.06.2020

Mathematics

A. 111.65

Step-by-step explanation:

This scenario can be interpreted like a triangle ABC where A and B are islands and C is the point from where the captain is 160 miles from island B.

a = 160

b = 260

c = 250

Law of cosines

$c^2 = a^2 + b^2 - 2(ab)Cos(C)\\Arranging\ as\\2ab \ cos\ C = a^2+b^2-c^2\\2(160)(260)\ cos\ C = (160)^2+(260)^2- (250)^2\\83200\ cos\ C=25600+67600-62500\\83200\ cos\ C=30700\\cos\ C= \frac{30700}{83200}\\cos\ C=0.36899\\C = arccos\ (0.36899)\\C = 68.35$

The internal angle is 68.35°

We have to find the external angle to find the bearing the captain should turn

Using the rule of supplimentary angles:

The external angle = 180 - 68.35 = 111.65°

Therefore, the captain should turn 111.65° so that he would be heading straight towards island B.

Hence, option 1 is correct ..

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Triangle JKL has the dimensions shown. 37 cm 12 cm M 35 cm Part A What is KM rounded to the nearest hundredth cm ? Part B What is the perimeter of triangle JKL rounded to the nearest hundredth cm?