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Question

Find the following ratio DEF\triangle D E F where mEm \angle E = 9090^\circ DE = 4, EF= 3, DF = 5.

tanD\tan D

Solution

Verified
Step 1
1 of 2

Recall that:

tanθ=length of the side opposite to the angle θlength of the side adjacent to the angle θ\tan\theta=\dfrac{\text{length of the side {\color{#c34632}\bf{}opposite} to the angle $\theta$}}{\text{length of the side {\color{#c34632}\bf{}adjacent} to the angle $\theta$}}

Use the given figure to substitute values for the

opposite{\color{#c34632}\bf{}opposite}

and the

adjacent{\color{#c34632}\bf{}adjacent}

side lengths.

tanD=FEDE=34\tan D=\dfrac{FE}{DE}=\dfrac{3}{4}

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