AB = ==> distance between the bottom of the plank; and the wall ===> 3 ft.
C ====> 49 degrees
For letter a, to solve for AC:
AC ==> HYPOTENUSE. The angle C is the OPPOSITE side of AB.
use sine :
sin A ===> opposite/hypotenuse
Solve:
sin 49 ====> 3/AC
AC ====> 3 / sin 49
AC ====> 3.96 ft.
For letter b, to solve for BC:
We are now given with the base (3 ft.); and; the hypotenuse (3.96 ft.) so we can use the Pythagorean theorem:
a^2 + b^2 = c^2
Let:
a ===> AB
b ===> BC
c ===> AC
(AB)^2 + (BC)^2 ===> (AC)^2
3^2 + (BC)^2 ===> (3.96)^2
(BC)^2 ===> (3.96)^2 - 3^2
(BC)^2 ===> 6.6816
sqrt (BC)^2 ===> sqrt 6.6816
Answer: BC ===> 2.58 ft.
Hope that helps!!!! : )
Answer:
FV= $12,450
Step-by-step explanation:
Giving the following information:
David invests $10,000 in a savings account that pays 3.5% simple interest.
<u>To calculate the future value, we need to use the following formula.</u>
FV= PV*(1+i*n)
n= 7
i= 0.035
PV= 10,000
FV= 10,000*(1+0.035*7)
FV= $12,450
35.98 - 18.25 = 17.73
The t-shirt cost her 17.73.
Answer:
The ratio of the length opposite to the side of the triangle whose angle is opposite to the length of the hyptoneuse.
