What the answer question

Side e = 5.7

Step-by-step explanation:

Given

d = 10

f = 7

<E = 34°

Required

Calculate length of side e

This can be calculated using law of cosine as follows;

e² = d² + f² - 2 * d * f * Cos(<E)

Substitute 10 for d, 7 for f and 34 for <E. This gives

e² = 10² + 7² - 2 * 10 * 7 * cos34

e² = 100 + 49 - 140 * cos34

e² = 100 + 49 - 140 * 0.8290

e² = 100 + 49 - 116.06

e² = 32.94

Take Square Root of both sides

e = √32.94

e = 5.7 (Approximated)

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step-by-step explanation: