Question

I need to solve for x

Answer 1

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°

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 =
`tan^(-1) (5)/(8)` = 32.005°

Figure(4) ∵ sinx = 10/15

∴ x =
`sin^(-1) (10)/(15)` = 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 =
`cos^(-1) (14)/(20)` = 45.573°