You just took off in your trusty Lockheed SR-71. It's a fine windless day. Your instruments indicate a true air speed (speed relative to the surrounding air) of 400 miles per hour and a climb rate (vertical speed) of 10,000 feet per minute. You figure that your flight path makes an angle of degrees with the horizontal. (Enter a mathematical expression or a decimal approximation with at least one digit beyond the decimal point.)
Hint: Draw a triangle showing your ascent and the distance along your flight path that you travel in one minute. Apply an inverse trig function.