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The diagram shows two right-angled triangles. Calculate the value of x.

The Diagram Shows Two Rightangled Triangles Calculate The Value Of X class=

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52° would be the value of x

The value of x in the given diagram is 7cm.

What is tangent of an angle?

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

According to the given question.

We have a diagram in which we have two right angled triangles.

Now, in the upper right angled triangle

[tex]tan50 = \frac{0pposite side}{5}[/tex]

⇒ 1.19 = 0pposite side/ 5

⇒ opposite side = 1.19 × 5

⇒ opposite side = 1.2 × 5

⇒ opposite side = 6cm

Now, the opposite side w.r.t angle 50  degrees in the upper right angle triangle is a adjacent side w.r.t to angle 38 degrees in the lower right angle triangle.

So, in the lower right angle triangle.

[tex]tan38 = \frac{x}{adjacent side}[/tex]

⇒[tex]0.78 = \frac{x}{6}[/tex]

⇒ x = 0.78 × 6

⇒ x = 4.68

⇒ x = 7cm

Hence, the value of x in the given diagram is 7cm.

Find out more information about tangent of an angle here:

https://brainly.com/question/14022348

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