All 4 diagonals that have O as the origin in the middle that are connected to a corner will be the same length. So, since OP is the same length as OL, you can make the equations equal each other and solve for x.
2x+5 = 3x+2
Move the 2 over to the left by subtracting it from both sides
2x + 3 = 3x
Move the 2x over to the right by subtracting it from both sides
3 = x
9514 1404 393
Answer:
about 71.6°
Step-by-step explanation:
The relevant trig function is ...
Tan = Opposite/Adjacent
Here, the "opposite" side of the right triangle is the height of the tower. The "adjacent" side is the distance to the tower. Then if the angle is x, we have ...
tan(x) = 900/300 = 3
x = arctan(3) ≈ 71.6°
Megan's angle of elevation is about 71.6°.
Vanessa is 16. When she was 6, he was 54, ten years later he's 64 and she's now 16.