Answer:
x = 19.9
Step-by-step explanation:
Given the above right angled triangle, we can find the missing side, x, using the trigonometric ratio formula.
The given angle (θ) = 19°
The adjacent length = x
Hypotenuse length = 21
Thus,
Cos (θ) = adjacent/hypotenuse
[tex] cos 19 = \frac{x}{21} [/tex]
[tex] 0.9455 = \frac{x}{21} [/tex]
Multiply both sides by 21 to solve for x
[tex] 0.9455*21 = x [/tex]
[tex] 0.9455*21 = x [/tex]
Answer:
x =
Step-by-step explanation:
Given the above right angled triangle, we can find the missing side, x, using the trigonometric ratio formula.
The given angle (θ) = 19°
The adjacent length = x
Hypotenuse length = 21
Thus,
Cos (θ) = adjacent/hypotenuse
[tex] cos 19 = \frac{x}{21} [/tex]
[tex] 0.9455 = \frac{x}{21} [/tex]
Multiply both sides by 21 to solve for x
[tex] 0.9455*21 = x [/tex]
[tex] 19.86 = x [/tex]
[tex] x = 19.86 [/tex]
The missing side = x ≈ 19.9 (to the nearest tenth)
