Solve the problem. A photographer points a camera at a window in a nearby building forming an angle of 42° with the camera platform. If the camera is 52 m from the building, how high above the platform is the window, to the nearest hundredth of a meter?

Solve the equation. log 3(x – 3) = 2

Find the exact value under the given conditions. sin α =  ,    < α < π; cos β =  , 0 < β

Solve the equation on the interval 0 ≤ θ < 2π. cos(2θ) = 

If s denotes the length of the arc of a circle of radius r subtended by a central angle θ, find the missing quantity. Round to one decimal place, if necessary. r = 12.17 centimeters, θ = 1.8 radians, s = ?

Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1.  Zeros: -3, -1, 2; degree 3

Write the equation of a sine function that has the given characteristics. Amplitude: 3 Period: 6π

Express as a single logarithm. 9ln (x – 3) – 11 ln x

  Which of the following was the most important factor in the Ottoman triumph over their rivals?  

  Which of the following reflects the attitude exhibited by Muslim rulers toward Jews, Christians, and Zoroastrians, as long as they accepted Islam’s political rule?