Answer:
![\angle 1=39\textdegree](https://tex.z-dn.net/?f=%5Cangle%201%3D39%5Ctextdegree)
Step-by-step explanation:
Remember that the sum of the interior angles of a triangle always equal 180. Therefore:
![\angle 1+\angle Y+102=180](https://tex.z-dn.net/?f=%5Cangle%201%2B%5Cangle%20Y%2B102%3D180)
Let's subtract 102 from both sides. This yields:
![\angle 1+\angle Y=78](https://tex.z-dn.net/?f=%5Cangle%201%2B%5Cangle%20Y%3D78)
Now, notice the that both ∠1 and ∠Y have exactly one arc mark.
Arc-marks denote congruence. Therefore, ∠1 and ∠Y are congruent to each other. In other words:
![\angle 1=\angle Y](https://tex.z-dn.net/?f=%5Cangle%201%3D%5Cangle%20Y)
So, we can substitute ∠Y for ∠1 for our equation. This yields:
![\angle 1+\angle 1=78](https://tex.z-dn.net/?f=%5Cangle%201%2B%5Cangle%201%3D78)
Combine like terms:
![2\angle 1=78](https://tex.z-dn.net/?f=2%5Cangle%201%3D78)
Divide both sides by 2. So, the measure of our angle is:
![\angle 1=39\textdegree](https://tex.z-dn.net/?f=%5Cangle%201%3D39%5Ctextdegree)
And we're done!
174992774 there you go chicken
Oh No ok hang on I got you
Answer:
Step-by-step explanation:
a r t b e th e a n s w e r
Answer:
257 ft
Step-by-step explanation:
You know based upon soh that sin=opp/hyp
So drawing a right triangle with a hypotenuse of 400 ft and an angle of 40° with the ground, you can see that sin40=x/400
Multiply both sides to find your x value or height which is 257.