Answer:
Fig.2⇒ x = 10.642
Fig.3⇒ x = 32.005°
Fig.4⇒ x = 41.810°
Fig.5⇒ x = 9.419
Fig.6⇒ x = 42.844
Fig.7⇒ x = 45.573°
Step-by-step explanation:
We will use the trigonometry functions
∵ Δ Is a right angle triangle in all figures:
Figure(2) ∵ cos20° = 10/x
∴ x = 10/cos20° = 10.642
Figure(3) ∵ tanx = 5/8
∴ x = [tex]tan^{-1} \frac{5}{8}[/tex] = 32.005°
Figure(4) ∵ sinx = 10/15
∴ x = [tex]sin^{-1} \frac{10}{15}[/tex] = 41.810°
Figure(5) ∵ sin48° = 7/x
∴ x = 7/sin48° = 9.419
Figure(6) ∵ tan35° = 30/x
∴ x = 30/tan35° = 42.844
Figure(7) ∵ cosx = 14/20
∴ x = [tex]cos^{-1} \frac{14}{20}[/tex] = 45.573°
