solve the right triangle shown in the figure for all unknown sides and angles.

Question

Round your answers to two decimal places

A = 30 degree, b = 3

Answer 1

Step 1:

Draw the right angled triangle with and .

Observe the diagram:

, and .

In a triangle, sum of the three angles is .

.

Step 2:

Consider .

.

Step 3:

Pythagoras theorem:

In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

.

.

The angles of triangle are , and .

The sides of triangle are , and .

Solution:

The angles of triangle are , and .

The sides of triangle are , and .