In triangle NOP p equals 600 inches angle P equals 96° and angle N equals 64° what is the area of triangle NOP to the nearest 10
1 answer:
9514 1404 393
Answer:
55,637.8 square inches
Step-by-step explanation:
We can find side n using the Law of Sines:
n/sin(N) = p/sin(P)
n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)
n ≈ 542.246913 . . . . inches
The angle O is ...
O = 180° -N -P = 180° -64° -96° = 20°
Then the area is ...
A = 1/2·np·sin(O)
A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²
The area of ∆NOP is about 55,637.8 in².
You might be interested in
Answer:
Step-by-step explanation:
We first need to bring x up into the numerator. I will find common denominators by multiplying both sides by each denominator.
This will eliminate both denominators and leave me with
after I simplify the parenthesis.
Now I will solve the equation for x by subtracting 9x from both sides.
Then divide by the coefficient of x.