Two coastguard station, Pand Q, are 25 km apart, Q is due east of P. A ship ,is at a distance of 18 km from P and 20km from Q. Calculate the size of angle SPQ

The size of angle SPQ is 52.4 degrees.

Step-by-step explanation:

Given:

Two coast guard station and a ship at a point from these coast guard.

That makes,three side length of a triangle.

Length of PQ = km

Length of  PS = km

Length of QS = km

We have to find the measure of angle SPQ.

Let the measure of SPQ be 'P'.

Using cosine law:

⇒

⇒ Plugging the values.

⇒

⇒

⇒

⇒  ...subtracting 949 both sides.

⇒

⇒                     ...dividing -900 both sides.

⇒

⇒

⇒ degrees

The size of angle SPQ = 52.4 degrees.

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step-by-step explanation:

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