A120 ft height post casts a shadow that is 150 ft long. what is the angle of elevation of the sun?

angle of elevation of the sun is 38.66 degrees

Step-by-step explanation:

So the shadow and post create a right triangle with the vertical leg 120 ft and the horizontal leg 150 ft.    We want the angle of the hypotenuse and the ground, so we use trig.

Gonna use x for theta for ease of typing.

Using SOH CAH TOA and the fact we have the two legs means we are going to use tangent.  With the chosen angle  as the one we are measuring from the opposite side is the post and the adjacent side is the shadow.

TOA means tan(x)=opposite/ adjacent so tan(x) = 120/150, so we need inverse tan or arctan, I will be using the term arctan.

arctan(120/150) = x = 38.66 degrees (If you need radians go ahead and change that in your calculator)

Let me know if you need any more help.

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w