Question

Solve this trigonometry question, please by an easy method.​

Answer 1

Answer:

x = 7.41 (nearest hundredth)

y = 9.53 (nearest hundredth)

Step-by-step explanation:

Trigonometric ratios

$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$

where:

• $\theta$ is the angle
• O is the side opposite the angle
• A is the side adjacent the angle
• H is the hypotenuse (the side opposite the right angle)

From inspection of the triangle:

• $\theta$ = 39°
• O = 6
• A = x
• H = y

To find x, use the tan trigonometric ratio:

$\implies \tan 39^{\circ}=\dfrac{6}{x}$

$\implies x=\dfrac{6}{\tan 39^{\circ}}$

$\implies x=7.409382939...$

Therefore, x = 7.41 (nearest hundredth)

To find y, use the sin trigonometric ratio:

$\implies \sin 39^{\circ}=\dfrac{6}{y}$

$\implies y=\dfrac{6}{\sin39^{\circ}}$

$\implies y=9.534094374...$

Therefore, y = 9.53 (nearest hundredth)

Learn more about trigonometric ratios here:

brainly.com/question/27938163

brainly.com/question/27938731

Answer 2

• tan39=6/x
• x=6/tan39
• x=7.4

And

• sin39=6/y
• y=6/sin39
• y=9.5