The missing trigonometric values are listed below:
- Angle A = 90 - θ
- sin 28° = cos (62°)
- Cos 33° = sin 57°
- Cos 31° = sin 59°
- Cos (90 - θ) = sin(θ)
<h3>Meaning of Trigonometry</h3>
Trigonometry is a branch of mathematics that studies angles of triangles and its side length.
Trigonometry is so important that every student must come across this branch of mathematics.
In conclusion, the missing trigonometric values are listed above
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Answer:
A. x = 58°
B. x = 10m
C. a = 44°
All approximated to nearest whole number.
Step-by-step explanation:
All triangles given are right angled triangles. Therefore, we would apply the trigonometry functions to solve for each missing side and angle.
Recall: SOHCAHTOA
a. Adjacent = 4.8cm,
Hypotenuse = 9cm
Angle to find =x°
Thus, we would apply the following formula:
Cos θ = Adjacent/Hypotenuse
Cos θ = 4.8/9 = 0.5333
θ = Cos-¹(0.5333) = 57.77
x ≈ 58° (to nearest whole number)
b. Opposite side = x
Hypothenuse = 40 m
Included angle = 14°
We would use:
Sine θ = opposite/hypothenuse
Sin (14) = x/40
Multiply both sides by 40
40*sin(14) = x
40*0.2419 = x
x = 9.676 = 10 m (to nearest whole number)
c. Opposite = 87mm
Adjacent = 91mm
θ = a°
We would use:
Tan θ = opposite/adjacent
Tan θ = 87/91
Tan θ = 0.9560
θ = tan-¹(0.9560)
θ = a = 43.71
a ≈ 44° (to nearest whole number)
Answer: -1x - 1
Step-by-step explanation:
2 -1x -3
2-3 = -1
-1x - 1
Answer:
54ft
Step-by-step explanation:
if 3foot is 4ft tall
then a shadow of 72 ft will be how tall?= x
4x =3ft by 72ft
4x= 216ft
x= 216/4
×=54
