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Find m∠D.

Write your answer as an integer or as a decimal rounded to the nearest tenth.


m∠D = °

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!! Find m∠D. Write your answer as an integer or as a decimal rounded to the nearest tenth. m∠D = ° class=

Answer :

Answer:

26.57 degrees

Step-by-step explanation:

So we need to find the angle of D in your triangle.

Since this is a right triangle we can use trigonometric functions (sin, cos, tan etc)

For this we need to use tangent since wanna do opposite over adjacent.

But since we want the angle we use tan^-1

So plug into your calculator(make sure your calculator is in degrees): tan^-1 (4/8)

We get 26.565 degrees

Answer:

Step-by-step explanation:

Triangle BCD is a right angle triangle.

From the given right angle triangle,

BD represents the hypotenuse of the right angle triangle.

With m∠D as the reference angle,

CD represents the adjacent side of the right angle triangle.

BC represents the opposite side of the right angle triangle.

To determine m∠D, we would apply

the tangent trigonometric ratio.

Tan θ = opposite side/adjacent side. Therefore,

Tan D = 4/8 = 0.5

m∠D = Tan^-1(0.5)

m∠D = 26.6° to the nearest tenth.

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