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

What is the length of the wood that is needed to replace AD?

Answer 2

@welshfella

Answer 3

use trigonometry
take the big triangle
tan 45 = AB/BC = AB/14

solve for AB

Answer 4

then find the length of DB in the bottom triangle
tan 30 = DB/14

solve for DB

Answer 5

finally AD = AB-DB

Answer 6

How do I find out what AB and DB are tho?

Answer 7

tan45 = AB / 14
cross multiply:-
AB = 14* tan45

grab your calculator and work it out

Answer 8

Thank you

Answer 9

yw