The following are the value of the unknown length x to the nearest tenth;
9. x = 9.0
10. x = 16.3
11. x = 54.1
12. x = 46.7
What is the value of the unknown length?
9.
cos θ = Adjacent / Hypotenuse
cos θ = 90° - 37° = 53°
cos 53° = x/15
cross product
15 × cos 53° = x
15 × 0.601815023152048 = x
x = 9.0272
Approximately, 9.0
10.
cos θ = Adjacent / Hypotenuse
cos 53° = x/27
cross product
27 × cos 53° = x
27 × 0.601815023152048 = x
x = 16.25
Approximately, 16.3
11.
cos θ = Adjacent / Hypotenuse
cos 75° = 14/x
cross product
x × cos 75° = 14
x = 14/cos 75°
x = 14/0.258819045102520
x = 54.1
12.
cos θ = Adjacent / Hypotenuse
cos θ = 90° - 24° = 66°
cos 66° = 19/x
cross product
x × cos 66° = 19
x = 19/cos 66°
x = 19/0.406736643075800
x = 46.7132
Approximately,
x = 46.7