A skyscraper is 396 meters tall. At a certain time of the day, it's casts a shadow that is 332 meters long. At what angle is the sun above the horizon at that time?

56.96°

Step-by-step explanation:

The set up will give a right angles triangle where;

The height of the sky scraper = hypotenuse side = 396m

The length of the shadow will be the opposite = 332m

According to the SOH trig identity

sin theta = opp/hyp

sin theta = 332/396

sin theta = 0.8383

theta = arcsin 0.8383

theta = 56.96°

Hence the sun is at 56.96° above the horizon

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1