Answer:
Explanation:
Picture 1
In right triangle ABC,
Side AB is the opposite side of angle C.
Picture 2
In triangle MKL,
tan(∠M) =

=

=

Option (1) is the answer.
Picture 3
In ΔXYZ,
sin(∠Z) =

=

For the length of XY we will apply Pythagoras theorem in ΔXYZ,
XZ² = XY² + YZ²
XY² = XZ² - YZ²
= (40)² - (32)²
XY = √576
= 24
sin(Z) =
sin(Z) =
Picture 4
In right triangle DEF,
Cos(D) =

=

=

=

Picture 5
In ΔABC,
tan(63°) =

tan(63°) =

AB =

AB =

AB = 4.0762 ≈ 4 m
Option (3) will be the answer.