# Cal

posted by on .

A plane flying horizontally at an altitude of 3 mi and a speed of 480 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 6 mi away from the station. (Round to the nearest whole number.)

• Cal - ,

Use Pythagoras theorem.
x=horizontal distance from station
L(x)=oblique distance from station
L(x)=√(480²+x²)
dx/dt = horizontal speed = 480 mph
Find dL(x)/dx by differentiation.
Then
dL(x)/dt
= dL(x)/dx * dx/dt

• Cal - ,

that makes no sense
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}