I can't figure out why the answer sheet says the correct answer is B. There's a diagram of thebut I can't copy and paste it. I added one that I made to hopefully help. Please help me figure this out! Thanks
The vertical support in the center of the suspension bridge in the diagram is 50 feet tall. The of elevation of the top of the support from either end of the bridge is 35°. Which of the following is the distance across the bridge from point A to point B?
*Trying to find distance from A to B
50 feet height
A 35° 35° B
A. 122.1 ft
B. 142.8 ft
C. 174.3 ft
D. 211.1 ft
To go through my thinking, with the two 35 degree angles, I know the third angle is 110, but with the 50 height split between them, I use tan55 to try find the opposite side (half distance between A to middle of "vertical support" and then double it to get the entire distance between point A and B) But when I try these options, I keep getting negative answers or D. I've tried sin35, cos55, getting the hypotenuse.. ugh. I know it's a simple mistake. Please help if you can. Thanks.