I really don’t get this please help??

Mathematics

2 answers:

Free_Kalibri [48]3 years ago

4 0

Answer:

82°

Step-by-step explanation:

You are given two sides and the angle opposite one of them. This is sufficient information to make use of the Law of Sines to solve the triangle.

The angle (C) opposite the 89 m side can be found from the proportion ...

sin(C)/89 = sin(30°)/48 . . . . . law of sines applied to the given information

Multiplying by 89 and taking the inverse sine, we have ...

C = arcsin(89/48·sin(30°)) ≈ 67.98°

Then the unknown marked angle (E) between the sides is found using the fact that the sum of angles of a triangle is 180°.

30° + E + C = 180°

E = 150° -C ≈ 82.02° . . . . . . subtract 30°+C from both sides, substitute for C

Rounded to the nearest degree, the angle Devora turned was 82°.

_____

We have chosen to use the letter C to represent the angle at the Cave entrance; and the letter E to represent the angle at the Empty treasure chest.

The value we chose for angle C is the acute angle in accordance with the problem statement. There is another solution to the triangle in which this angle is the obtuse angle 112.02° = 180° - 67.98°.

emmainna [20.7K]3 years ago

3 0

the question is confusing but the ? angle is 90 degrees don't know if that helps at all though sorry

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98 Points !! These are follow up according to previous question that had been answered for me. Help would be appreciated ! :))

IgorLugansk [536]

That's a copy of the figure from the other post; I didn't look at the answer.

We have Start(0,0)

$A(-16.55\cos 25, -16.55 \sin 25)$

$B=A+(5 \cos 53, 5 \sin 53)$

$C=B+(20,0)$

$C=(-16.55\cos 25 + 5 \cos 53+20, -16.55 \sin25 - 5 \sin 53)$

$C \approx (8.00968, -10.9875) \approx(8,-11)$

Your team takes the direct path at a constant speed of 6 miles per hour.

Our team. $T=\sqrt{8^2+11^2}/6 = 2.27 \textrm{ hours}$

Team Red follows the riddle and travels at 8 mph from Start to Post A, 9 mph from Post A to Post B, and 11 mph from Post B to Finish.

$T=16.55/8 + 5/9 + 20/11 = 4.44 \textrm{ hours}$

Team Blue follows the riddle and travels at a constant speed of 10 mph.

 $T=(16.55 + 5 + 20)/10 = 4.155 \textrm{ hours}$

Team Yellow follows the riddle and travels at a constant speed of 11 mph, but stops at Post A for 30 minutes and stops again at Post B for another 30 minutes.

$T=(16.55 + 5 + 20)/11 + 30/60 + 30/60=4.78 \textrm{ hours}$

Winner: our team, then Blue, then Red, then Yellow