# Trigonometry

posted by .

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 eye-level) of 16 m above sea-level, what is the horizontal distance between the life guard and the shark to the nearest meter?

• Trigonometry -

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°

## Similar Questions

1. ### Calculus

I need help with the following problem: You're in a hot air balloon with your support crew on the ground. Attached to the balloon are two tether cords of length 350 feet and 400 feet that your crew attached to the ground. These cords …
2. ### Physics

A monkey is hanging from a branch located exactly 24 meters along the ground from the hunter. The monkey is 14 meters above the ground. The hunter aims directly at the monkey and fires a water balloon at the monkey just as the monkey …
3. ### maths

A particle of mass 4 kg is attached to one end of an inelastic string and a particle of mass 2 kg is attached to the other end of the string.The string has length 4m and is hung over a smooth pivot at its midpoint. The Pivot lies 3m …
4. ### maths and physics

A particle of mass 4 kg is attached to one end of an inelastic string and a particle of mass 2 kg is attached to the other end of the string.The string has length 4m and is hung over a smooth pivot at its midpoint. The Pivot lies 3m …
5. ### Physics

A spherical helium filled balloon is attached to a string that is fixed to the ground. the balloon has a volume of .30/4m^3 and helium has a density of .20 kg/m^3. What is the weight of the balloon and helium if the tension on the …
6. ### advanced functions

=the height in metres of a weather ballon above the ground after t seconds can be modelled by the function h(t)=-2t^3+3t^2+149, for 0<t<10. when is the ballon exactly 980 m above the ground?
7. ### Physics

A playful college student tosses a water balloon out of his dorm window at a speed of 6.2 m/s at an angle of 10° above the horizontal. The dorm window is 11 m above ground level. 1)What is the maximum height above the ground of the …
8. ### trig

a balloon is tethered to the ground by a string 5 m long if the string makes an angle of 65 degrees with the ground how high above the ground is the balloon
9. ### Physics

A water balloon is thrown straight down at 10.0 m/s from a second floor window, 5.00 m above ground level. 1) How fast is the balloon moving when it hits the ground?
10. ### Physics

A 30m bar with a mass of 20kg is being lifted by a string. The bar makes an angle of 55 degrees above horizontal (between the bar and ground). The string is attached to the ceiling vertically. What is the tension on the string?

More Similar Questions