Question

find the value of x. round your answer to the nearest tenth
​

Answer 1

Answer:

$x=5.3$

Step-by-step explanation:

With the given information we can find the degrees of all angles,

37, 90 and 53.

Using the sine rule,

$\frac{A}{sin(a)}=\frac{B}{sin(b)}$

$\frac{7}{sin(53)}=\frac{x}{sin(37)}$

$x=\frac{sin(37)\cdot7}{sin(53)}= 5.2748 = 5.3$

Answer 2

Answer: x = 5.5

Step-by-step explanation:

From the given right angle triangle, the hypotenuse of the right angle triangle is the unknown side.

With 37 degrees as the reference angle,

the adjacent side of the right angle triangle is 7

the opposite side of the right angle triangle is x

To determine x, we would apply

the Tangent trigonometric ratio which is expressed as

Tan θ = adjacent side/hypotenuse. Therefore,

Tan 37 = x/7

x = 7tan38 = 7 × 0.781

x = 5.5 to the nearest tenth.