Question

What is the approximate length of side a? A. 6.62 m B. 8.78 m C. 13.77 m D. 18.21 m​

Answer 1

Answer:i think the answer is D but it could be C but i know for a fact it is definitely not A or B

Explanation:

Answer 2

C. 13.77 m

Explanation:

The sum of the three angles of a triangle is 180°

In the given triangle, two of the angles are 37° and 90°

Third angle = 180 - (37 + 90) = 53°

By the law of sines, ratio of a side to the sine of the opposite angle is the same for all sides and their opposite angles

∴

`(a)/(\sin 90) = (11)/(\sin 53)\\\\\sin 90 = 1\\\sin 53 = 0.7986\\\\\rightarrow (a)/(1) = (11)/(0.7986)\\\\a = 13.7735\\\\a\approx 13.77\; m`