Answer:
[tex]x^{\circ}=26.1 \text{degrees}[/tex]
Step-by-step 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
[tex]\frac{AB}{BC}=tanx^{\circ}[/tex]
Substituting the given values, we have
[tex]\frac{26}{53}=tanx^{\circ}[/tex]
⇒[tex]0.490=tanx^{\circ}[/tex]
⇒[tex]x^{\circ}=tan^{-1}(0.490)[/tex]
⇒[tex]x^{\circ}=26.1 \text{degrees}[/tex]
Thus, the value of x is 26.1 degrees.
