Answer:
a.
and 41.6
b. 52.1
Step-by-step explanation:
a.
Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.
<u>Note:</u> the exact value of tan 60 is 
Thus, we can write 
Approximate value (rounded to nearest tenth): 
b.
Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.
Thus we can write and solve:

3+p=8
-p -p
3=8-p
-8 -8
-5=-p
swap signs
5=p
Your equation is correct.

Answer:

Step-by-step explanation:
We want to simplify:

We convert to improper fraction to get:

We now deal with the parenthesis by multiplying with the reciprocal of 2.

This gives:

We multiply to get:

This simplfies to:

We write as mixed number
