In right triangle ABC, mA = 90°, cos
B = 7x0.55, and sin C = x + 0.71. Solve
for x.
Answer:
X =

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MrRoyal MrRoyal · Answer 1 · 2022-06-14T18:25:02+02:00

The value of x in the triangle is 0.21

The given parameters are:

mA = 90°

cos(B) = 7x - 0.55

sin (C) = x + 0.71

Since the angle is a right triangle, then

C + B = 90

In a right triangle;

If C + B = 90, then

sin(C) = cos(B)

So, we have:

7x - 0.55 = x + 0.71

Evaluate the like terms

6x = 1.26

Divide both sides by 6

x = 0.21

Hence, the value of x in the triangle is 0.21