Hurry

the figure below shows a triangular wooden frame abc. the side ad of the frame has rotted and needs to be replaced: what is the length of the wood that is needed to replace ad?

AD = 6.76 inches

Step-by-step explanation:

Taking the triangle ABC:

tan 45° = AB/BC

1 = AB/BC

AB = BC = 16 in

Taking the triangle DBC:

tan 30° = DB/BC

DB = BC * tan 30°

DB = 16 * tan 30°

DB = 9.24 in

Given that AD + DB = AB, then

AD =  AB - DB

AD = 16 - 9.24 = 6.76 inches

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value