Robin is looking up at a 89degree angle to the top of the stratosphere in Las Vegas, which is 1149ft tall. how far away is Robin form the base of the tower? round to the nearest hundredth
review your basic trig functions, and from a distance of x feet,
1149/x = tan 89°
Now just solve for x.
To find the distance between Robin and the base of the tower, we can use trigonometry. We are given the angle of elevation (89 degrees) and the height of the tower (1149 ft).
Let's assume the distance from Robin to the base of the tower is x ft.
Using the tangent function, we can set up the following equation:
tan(89°) = height of tower / distance to the base
tan(89°) = 1149 ft / x ft
To solve for x, we need to isolate it. We can do this by cross-multiplying:
x ft = 1149 ft / tan(89°)
Now, let's calculate this:
x ft = 1149 ft / tan(89°)
x ft ≈ 1149 ft / 57.29 (tan(89°) in radians)
x ft ≈ 20.05 ft
So, the distance between Robin and the base of the tower is approximately 20.05 feet (rounded to the nearest hundredth).