2) Two triangles that have the same angles are similar. If two triangles are similar, the sides opposite to each angle are proportional We can use this information to find x in the figure: = =$ 8 isto 5 as xis to 3 5x = 8(3) by cross multiplying 5x = 24 1= =48 8 a) For the similar triangles, find the value of x. 12 10 3. a. A woman w=5 ft tall is standing near a street lamp that is s=14 ft tall, as shown in the figure. Find a function that models the length L of her shadow in terms of her distance d from the base of the lamp. (hint you just need to set up the appropriate ratio and solve for L) b. Use your answer to find L(36). Explain, in words, what this means. C. If the length of her shadow is shadow is 10 ft, what's her distance from the base of the lamp? Page 5