Question

The figure below shows a triangular wooden frame ABC. The side AD of the frame has rotted and needs to be replaced:

Answer 1

Answer:

The answer is 5.1 inches

Step-by-step explanation:

For the triangle, you would use the tangent ratio to find 45 degrees (30 + 15) and then 30 for the measure of the opposite sides.

Whole triangle:

Tan 45 = x/12

x = 12 * tan 14

x = 12 * 1

x = 12

Just the 30 degree triangle:

Tan 30 = x/12

x = 12 * tan 30

x = 12 * 0.577

x = 6.924

Now you subtract the smaller 30 degree triangle from the whole triangle to find the measure of AD.

12 - 6.924 = 5.076 which rounds to 5.1

I also took the test with this same question and got it correct.

Answer 2

The answer would be 6.9 inches.