Answer:
16.76°
Step-by-step explanation:
In ΔVWX, the measure of ∠X=90°, WX = 8.3 feet, and XV = 2.5 feet.
We want to find the measure of <W.
We know side length that is adjacent and opposite to <W.
We can use the tangent ratio, to find the measure of <W.
The tangent ratio is opposite over hypotenuse.
Take tangent inverse to get:
Answer:
-¹²/₅
Step-by-step explanation:
Let cos a = -⁵/₁₃
Then tan a = sin a/cos a
= [√(1 - cos²a)]/cos a
= {√[1 - (-⁵/₁₃)²]}/(-⁵/₁₃)
= -[√(1 - ²⁵/₁₆₉)] × ¹³/₅
= -[(√(¹⁴⁴/₁₆₉ )] × ¹³/₅
= -¹²/₁₃ × ¹³/₅
= -¹²/₅
tan(arccos (-⁵/₁₃)) = -¹²/₅
The diagram shows the 2nd quadrant of a circle with radius 13, cos a = -⁵/₁₃, and tan a = ¹²/₍₋₅₎ = -¹²/₅.
