Question

In this triangle, what is the value of x?

Enter your answer, rounded to the nearest tenth, in the box.

Answer 1

`x^(\circ)=26.1 \text{degrees}`

Explanation:

Given: In right angled triangle ABC, AB=26cm, BC=53cm and ∠B=90°.

To find: The value of x.

Solution: It is given that In right angled triangle ABC, AB=26cm, BC=53cm and ∠B=90°.

Thus, using trigonometry, we have

`(AB)/(BC)=tanx^(\circ)`

Substituting the given values, we have

`(26)/(53)=tanx^(\circ)`

⇒
`0.490=tanx^(\circ)`

⇒
`x^(\circ)=tan^(-1)(0.490)`

⇒
`x^(\circ)=26.1 \text{degrees}`

Thus, the value of x is 26.1 degrees.