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:

If you take a moment and solve each equation (find the value
of the letter in each one), it'll jump out at you.
Here, let me do it for you. Why should you tire yourself.
5x = 20 . . . . . x = 4
4b = 7 . . . . . . b = 7/4
8w = 32 . . . . . w = 4
12y = 48 . . . . . y = 4
The second equation is not like the others.
It's the only one where the letter is not equal to 4 .
Answer:
-7 degrees
Step-by-step explanation:
Make sure to double check, but I think this is the answer.
Answer:
12
Step-by-step explanation:
Answer: It will take approximately 21 years.
Step-by-step explanation:
6 percent of 5.25 is 0.315 (5.25 x 0.06 = 0.315)
Then you subtract 5.25 from 12 to calculate the number of years. (12 - 5.25 = 6.75)
Divide 0.315 from 6.75 (6.75 / 0.315 ≈ 21.4)