Question

a flashlight is projecting a triangle onto a wall, as shown below. the original triangle and its projection are similar. what is the missing length ( n ) on the projection? ( \bigcirc 12\frac{4}{5} ) ( \bigcirc 11\frac{1}{4} ) ( \bigcirc 20 ) ( \bigcirc 19 )

Explanation:

Step1: Set up similarity proportion

Since the triangles are similar, the ratios of corresponding sides are equal:
$\frac{12}{16} = \frac{15}{n}$

Step2: Cross-multiply to solve for n

Cross-multiply to isolate the unknown:
$12n = 16 \times 15$

Step3: Calculate right-hand side

Compute the product on the right:
$12n = 240$

Step4: Solve for n

Divide both sides by 12:
$n = \frac{240}{12} = 20$

Answer:

20