What is the value of sinθ given that (−6, −8) is a point on the terminal side of θ ?

Step-by-step explanation:

Let a=-8

b=-6

In triangle , by using Pythagoras theorem,

=+

r=

r=

r=

r=

r=10

by using trigonometric ratio,

sinθ =

sinθ =

sinθ =

25/4

step-by-step explanation:

call segment cd's length x. because dc and ab are parallel, angle acd and cab, so triangles adc and abc are similar and we can set up the equation x / ac = ac / ab, or x / 5 = 5 / 4 and x = 25/4.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,