As part of his math assignment, Santos has to estimate the height

Mathematics

1 answer:

ycow [4]3 years ago

5 0

Answer:

105.46 feet

Step-by-step explanation:

We know all three angles (60, 90, and 30), as well as one side, which is adjacent to the 60 degrees. We want to find the side opposite to the 60 degree angle. To do this, we can use tangent, utilizing both opposite and adjacent.

Using tan, we can say that tan(60) = x/58, with x representing the height of the lighthouse (minus 5, because Santos is 5 feet tall and he is measuring the angle from the top of his head). Multiplying both sides by 58, we can get that 58 *tan(60) = x = 100.46. Add 5 to that to get 105.46 feet as your answer.

You might be interested in

1 2/5 divided by 2 3/4

LekaFEV [45]

The answer is 28/55.

In order to find this, the easiest thing to do is to make both of the terms improper fractions. To do that for any term, you need to multiply the big number by the bottom of the fraction (denominator) and then add that to the top number (numerator). Then this can be expressed over the original bottom number.

$\frac{WHOLE*BOTTOM + TOP}{BOTTOM}$