Question

Grade 10 trig!! NEED HELP WITH THIS QUESTION

Answer 1

x = 73.21

Explanation:

Consider triangle ABC. Since angle A is 45° and side BC is 100, then side AB is also 100.

Now consider triangle ABD. With angle A equal to 60°, we can use the definition of tangent to find the value of x:

tan 60 = BD/AB

sqrt(3) = (x + 100)/100

or

x + 100 = 100sqrt(3)

x = 100[sqrt(3) - 1]

= 73.21