Akite is flying 92ft off the ground, and its string is pulled taut. the angle of elevation of the kite is 44°. find the length of the string.

132.4 feet

Step-by-step explanation:

This is a classic right triangle trig problem.  We have the reference angle of 44, and we have the side length that is opposite the reference angle as 92, now we need the length of the string which is the hypotenuse.  The trig ratio that relates the side opposite the reference angle to the hypotenuse is the sin ratio.  Let's set it up:

Doing some algebraic manipulations with that gives us

Plug that into your calculator in degree mode and you get x = 132.4392

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

560

hope this : )