Which of the following choices is the area of triangle ABC rounded to the nearest square mile? 353 square miles 516 square miles 611 square miles 674 square miles

Question

asked Feb 21, 2021 33.7k views

1 Answer

Amit Kumar Lal · Answer 1 · 2021-02-25T17:20:34+0000

Answer:

Denote AH as height of triangle ABC, with H lies on BC.

Applying sine theorem:

AH/AC = sin 60

=> AH = AC x sin 60 = 47 x sqrt(3)/2 = 40.7

=> Area of triangle ABC is calculated by:

A = AH x BC x (1/2) = 40.7 x 30 x (1/2) = 610.5 = ~611

=> Option C is correct.

Hope this helps!

:)