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∠A =  48.59° (In near hundredth)

Step-by-step explanation:

Given Data:

Perpendicular = P = 6

Hypotenuse = H = 8

To Find out:

∠A = ?

Formula:

Sin(∠A) = P/H

∠A =   (P/H)

Solution:

∠A =   (P/H)

∠A =   (6/8)

∠A =   (0.75)

∠A =  48.59037°

∠A =  48.59° (In near hundredth)

Step-by-step explanation:

Triangle ABC is a right angle triangle.

From the given right angle triangle,

AB represents the hypotenuse of the right angle triangle.

With m∠A as the reference angle,

AC represents the adjacent side of the right angle triangle.

BC represents the opposite side of the right angle triangle.

To determine m∠A, we would apply

the cosine trigonometric ratio.

Cos θ, = adjacent side/hypotenuse. Therefore,

Cos A = 6/8 = 0.75

A = Cos^-1(0.75)

A = 41.41° to the nearest hundredth.

the answer is d. 75%