# The terminal side of an angle in standard position passes through p(15, -8). What is the value of sinθ?

**Solution:**

The angle here is in the IV quadrant

Using the pythagoras theorem

h^{2} = (-8)^{2} + 15^{2}

By further calculation

h^{2} = 64 + 225

h^{2} = 289

h = √289

h = 17 units

Sine value is the ratio of the length of the opposite side to the length of the hypotenuse.

It is in the 4th quadrant and the ratio is negative.

sin θ = -8/17

Therefore, the value of sinθ is -8/17

## The terminal side of an angle in standard position passes through p(15, -8). What is the value of sinθ?

**Summary:**

The terminal side of an angle in standard position passes through p(15, -8). The value of sinθ is -8/17.