Find the distance between two points where a boat's crew measured the angle of elevation to a lighthouse beacon at 11∘ and 22∘, given the beacon is 104 feet above the water.
Find the function with the longest period from y=6sin(3x)+20, y=8cos(2x)−4, y=7cos(πx)+13, y=2sin(0.5x)−11. To make a sprinkler with period 56s, the value of k in 15sin(kt) should be 35π.
Find the exact value of sec(14π) without using a calculator. Select the correct choice: A. sec(14π)=□ (Type an exact answer, using radicals as needed. Rationalize the denominator) or B. The answer is undefined.
Find the height of a radio antenna given the horizontal distance, angles of elevation to the roof and antenna top, and eye height. Use tan(θ)=opposite/adjacent to solve for the antenna height.
(1 point) A Ferris wheel with 35 m diameter rotates fully every 6 minutes. At t=0, you are at the 3 o'clock position and ascending. Find a formula for f(t), your height (in m) above ground at t minutes. f(t)=17.5sin(3πt)+17.5
Coastal city's tide peaks every 11.8 hours, ranging from 5.2 to 2.4 feet. Find the equation modeling the tide height after t hours, given the high tide is at t=0. Round values to the nearest tenth. Use a sin function. Amplitude =1.4 feet, Period =2π radians, Phase Shift =0 radians, Vertical Shift =3.8 feet.
A woman is watching a rocket 13 miles high, standing 4 miles from the launch pad. Find the angle she is looking up from the horizontal, rounded to 2 decimal places. tan−1(413)