What are the lengths of the other two sides of the triangle? O AC = 5 and BC = 5 O AC=5 and BC =515 O AC = 5/5 and BC = 5 O AC =
5 and BC =53
1 answer:
*see attachment for missing diagram
Answer:
AC = 5 and BC = 5√3
Step-by-step explanation:
Given:
m<A = 60°
m<B = 30°
AB = 10
Required:
AC and BC
Solution:
Recall, SOH CAH TOA
✔️Find AC:
Reference angle (θ) = 30°
Hypotenuse = 10
Opposite = AC
Apply SOH:
Sin θ = Opp/Hyp
Substitute
Sin 30° = AC/10
10*Sin 30° = AC
10*½ = AC (sin 30° = ½)
5 = AC
AC = 5
✔️Find BC:
Reference angle (θ) = 60°
Hypotenuse = 10
Opposite = BC
Apply SOH:
Sin θ = Opp/Hyp
Substitute
Sin 60° = BC/10
10*Sin 60° = BC
10*√3/2 = BC (sin 60° = √3/2)
5*√3 = BC
BC = 5√3
You might be interested in
Answer:
273.5j+5.25
Step-by-step explanation:
first combine like terms 275j-1.5j. and then 2.25+3
Answer:
i think it is negative
Step-by-step explanation:
Answer: (3, 6.3) and (7, 14.7)
Step-by-step explanation:
y = 2.1 x 3 = 6.3
y = 2.1 x 7 = 14.7
I’m pretty sure it’s option D
Answer:
Step-by-step explanation:
Beth is painting at a rate of 6/5=1 1/5 room per hours