Answer:
i. a = 8.7, b = 7.1 and c = 11.2
ii. A =
, B =
and C =

Explanation:
Given a right triangle with, b = 7.1 and B =
.
I. Applying the trigonometric function to determine leg a, we have;
Tan θ =

Tan
=

a =

= 8.675
The length of leg a is 8.7.
ii. To determine leg c,
Sin
=

=

⇒c =

= 11.21
The length of leg c is 11.2.
iii. Given that: B =
and C =

Then,
A + B + C =
(sum of angles at a point)
A +
+
=

A +
=

A =
-

=
