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.

answer: sorry i can't you.

step-by-step explanation:

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x