Can you help me find a?

Given:

The triangle ABC is a right angled triangle.

The length of AB is 10 m

The length of BC is a.

The measure of angle A is 38°

We need to determine the value of a.

Value of a:

The value of a can be determined using the formula,

where , and

Substituting these values, we get;

Substituting BC = a and AB = 10, we get;

Multiplying both sides of the equation by 10, we get;

Thus, the value of a is 6.157 m

m∠a is 90°

m∠b is 40°