Question

I need to solve for x

Answer 1

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 = $tan^{-1} \frac{5}{8}$ = 32.005°

Figure(4) ∵ sinx = 10/15

∴ x = $sin^{-1} \frac{10}{15}$ = 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 = $cos^{-1} \frac{14}{20}$ = 45.573°