Answer:
Side e = 5.7
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)