∆ABC is a right triangle where C is the right angle. The sinA = 3/5. If the hypotenuse of ∆ABC = 30 inches. Determine the lengths of all of the sides in ∆ABC.

AC =
inches

BC =
inches

AB =
inches

Part 1)

Part 2)

Part 3)

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find BC

we know that

In the right triangle ABC

----> by SOH (opposite side divided by the hypotenuse)

we have

----> the hypotenuse (greater side)

substitute the given values

step 2

Find AC

In the right triangle ABC

Applying the Pythagorean Theorem

substitute the given values

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

i believe that the answer is

b. y-1=-2(x-4)

hope this !