Find X. Round to the nearest tenth.
Z
90 ft
55 ft
Х
50 ft
Y
X= [?]°
Law of Cosines: c2 = a2 + b2 - 2ab cos C

x = 118 degrees approximately

Step-by-step explanation:

Here, we want to get the measure of the angle marked x

We shall use the side facing it and apply the cosine rule

The side facing the angle measures 90

Thus, we have it that;

90^2 = 55^2 + 50^2 - 2(50)(55) cos X

2575 = - -5,500 cos X

X = cos^-1(-2575/5,500)

X = 118 degrees approximately

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2