Answer:
1) 17.80
2) 25.09
Step-by-step explanation:
1) From the diagram,
Opposite = x
Hypotenuse = 22
Angle of elevation = 54°
According to SOH trigonometry identity
sin theta = opposite/hyp
sin 54 = x/22
x = 22sin54
x = 17.798
Hence the value of x is 17.80 to the nearest hundredth
2) Opposite = 11
hypotenuse = x
Angle of depression = 26°
sin 26 = opp/hyp
sin 26 = 11/x
x = 11/sin26
x = 11/0.4384
x = 25.09
Hence the value of x to nearest hundredth is 25.09
