Trigonometry word problem.

Question

A triangular piece of land is bounded by 16.10 m of stone fence, 62 m of highway, and 52.36 m of wooden fencing. What angle does the wooden fence make with the highway?

Answer is to be angle inside the triangle.

Angle in degrees = 

Answer 1

First draw a triangle ABC with base BC(a) = 52.36 , AB(c)=16.1 and AC(b)=62

The Law of Cosines says: c² = a² + b² − 2ab cos(C)

Plug-in the values in the above equation, you will get the angle C.

Try for the answer, if you get any doubts, message me, i am here to help you out.

Answer 2

Use Law of Cosines

16.10² = 62² + 52.36² - 2(62)(52.36) cos θ

Can you calculate θ and answer?