The figure shows two right triangles that share an (acute) angle. {{CMD_177}} {{ENV_178}} {{CMD_179}} If {{MATH_180}} is growing from the vertex with a rate of {{MATH_181}} m/s, what rate is the area of the smaller triangle changing when {{MATH_182}}m? {{CMD_183}} First, we {{CMD_184}}introduce the variables{{CMD_185}} {{MATH_186}} and {{MATH_187}}, denoting the height and the area of the smaller triangle, in that order. Next, we {{CMD_188}}identify{{CMD_189}} the given rate {{MATH_190}} m/s and the unknown rate {{MATH_191}}, when {{MATH_192}}. Despite the fact that a nice picture is given, we should do what we always do and {{CMD_193}}draw a picture{{CMD_194}}. Note, we ad information to the picture: {{CMD_195}} {{ENV_196}} {{CMD_197}}