How to get answer by Mimiwhatsup:

Answer:Let =tan2
t
=
tan
x
2
, then cos=1−21+2
cos
x
=
1
−
t
2
1
+
t
2
and tan=21−2
tan
x
=
2
t
1
−
t
2
.
Now
1+21−2+21−2(1+)21−21+1−tan2
Step-by-step explanation:
The length of
is given by the relationship between the similar triangles
ΔABD and ΔBDC.
= <u>80</u>
Reasons:
The given parameters are;
The altitude of triangle ΔABD = 
The hypotenuse of formed right triangle = 
The length of AD = 8
Length of BD = 24
Whereby ΔABD is a right triangle
We have;
ΔABD is similar to ΔBDC
Therefore, by similar triangle proportional sides relationship, we have;

Which gives;
= 
Therefore;



Which gives;

Learn more about similar triangles here:
brainly.com/question/4618367
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