Find the value of x

Mathematics

1 answer:

kkurt [141]3 years ago

3 0

Answer:

Ok i will answer you and help you but give me 20 mins to solve

Step-by-step explanation:

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Mhanifa please help :( no one has helped me on this yet

VMariaS [17]

Answer:

16)

q / 12 = sin 20
q = 12 sin 20
q = 4.1

p / 12 = cos 20
p = 112 cos 20
p = 11.3

17)

x / 44 = tan 39
x = 44 tan 39
x = 35.6

35.6 / y = sin 39
y = 35.5 / sin 39
y = 56.4

18)

14 / b = sin 57
b = 14 / sin 57
b = 16.7

a / 16.7 = cos 57
a = 16.7 cos 57
a = 9.1

3 0

3 years ago

Can someone please explain to me how to get this answer?

SIZIF [17.4K]

Answers:
A = 120
b = 45.0
c = 33.2

Side Note: only one triangle is possible
See attached for a visual. I used GeoGebra to draw the triangle.

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Explanation:

We are given the following information
B = 35
C = 25
a = 68

We need to find the following
A, b, c

where the lower case letters represent the side lengths; the upper case letters are the angles. The angles are opposite their corresponding sides. For instance, side lowercase b is opposite angle uppercase B. The other letters are positioned the same way.

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First use the idea that for any triangle, the three angles (A,B,C) must add to 180 degrees
A+B+C = 180
Replace B and C with 35 and 25. Solve for angle A
A+35+25 = 180
A+60 = 180
A+60-60 = 180-60
A = 120

Now that we know the three angles A = 120, B = 35, C = 25, we can find the missing sides 'b' and 'c'

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We will use the law of sines to find side b
sin(A)/a = sin(B)/b
sin(120)/68 = sin(35)/b
b*sin(120) = 68*sin(35) <<--- cross multiply
b = 68*sin(35)/sin(120)
b = 45.037013350222 <<--- use a calculator; this value is approximate
b = 45.0 <<--- round to the nearest tenth

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Do the same for side c
sin(A)/a = sin(C)/c
sin(120)/68 = sin(25)/c
c*sin(120) = 68*sin(25) <<--- cross multiply
c = 68*sin(25)/sin(120)
c = 33.1838323365404 <<--- use a calculator; this value is approximate
c = 33.2 <<--- round to the nearest tenth