Trigonometry
posted by Jodie on .
I have three questions that I need help to answer.
1) a balloon on the end of a string attached to the ground is being blown by the wind. If the ballon us 12.75 m above the ground and the string makes an angle of 48 degrees to the horizontal, what is the length of the string, rounded to two decimal places?
2) A ramp is 9.4 m long and joins two levels, one 3.1 m higher than the other. What angle does the ramp make with the lower level, rounded to one decimal place?
3) A lifeguard on watch at a beach spots a shark at an angle of depression of 9 degrees. If the lifeguard views the shark from a height (to his eyelevel) of 16 m above sealevel, what is the horizontal distance between the life guard and the shark to the nearest meter?

Looks like time to review the basic trig functions. It always helps to draw a diagram.
(1) 12.75/x = sin 48°
(2) sin x = 3.1/9.4
(3) 16/x = tan 9°