Question

In this triangle, what is the value of x?

Answer 1

I believe the answer is 26.131 degrees. Hope this helps!!!

Answer 2

Answer:

$x^{\circ}=26.1 \text{degrees}$

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

$\frac{AB}{BC}=tanx^{\circ}$

Substituting the given values, we have

$\frac{26}{53}=tanx^{\circ}$

⇒$0.490=tanx^{\circ}$

⇒$x^{\circ}=tan^{-1}(0.490)$

⇒$x^{\circ}=26.1 \text{degrees}$

Thus, the value of x is 26.1 degrees.