A sailor on Ship A measures the angle between Ship B and the pier and finds it to be 35°. A sailor on Ship B measures the angle between Ship A and the pier and finds that it is 54°. What is the measure of the angle between Ship A and Ship B?

Given:

Angle between Ship B and the pier 35°.

Angle between Ship A and the pier 54°.

To find:

The angle between Ship A and Ship B.

Solution:

It is clear that location of pier, Ship A and Ship B forms a triangle as shown in below figure.

Let the angle between Ship A and Ship B be x.

According to angle sum property, the sum of all the interior angles of a triangle is 180°.

Therefore, the angle between Ship A and Ship B is 91°.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents