A pole that is 3.3 m tall casts a shadow that is 1.4 m long. At the same time, a nearby building casts a shadow that is 47.5 m long. How tall is the building? Round your answer to the nearest meter.

Step-by-step explanation:

If you were to draw a diagram, you could form two similar triangles using the pole and the building (unsolvable otherwise). Since these triangles are similar, we can write the following proportion:

, where is the height of the building.

Solving, we get:

(rounded to the nearest meter as requested in the problem).

I've drawn the figure below for reference:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).