To solve this problem, we can use the tan function to find
for the distances covered.
tan θ = o / a
Where,
θ = angle = 90° - angle of depression
o = side opposite to the angle = distance of boat from
lighthouse
a = side adjacent to the angle = height of lighthouse = 200
ft
When the angle of depression is 16°18', the initial distance
from the lighthouse is:
o = 200 tan (90° - 16°18')
o = 683.95 ft
When the angle of depression is 48°51', the final distance
from the lighthouse is:
o = 200 tan (90° - 48°51')
o = 174.78 ft
Therefore the total distance the boat travelled is:
d = 683.95 ft - 174.78 ft
<span>d = 509.17
ft</span>
The top box on the page explains the idea completely.
You need to read the top box several times, and understand it.
A ratio is a comparison of two quantities by division.
1). Days in May: 31
Days in a year: 365
Their ratio: 31/365 .
2). Sides of a triangle: 3
Sides of a square: 4
Their ratio: 3/4 .
The middle box explains how two ratios can be equal,
and it gives you a very detailed example. You should
read the middle box and understand it.
Ratios are fractions. They can be equal in just the same
way that any two fractions can be equal.
And you can simplify ratios in exactly the same way that
you simplify fractions ... divide top and bottom both by
the same number.
3). 8/12 Cook up three equal ratios.
1. divide top and bottom by 2 . . . . . 4/6
2. divide top and bottom by 4 . . . . . 2/3
3. multiply top and bottom by 9 . . . . 72/108
These are just some that I chose.
There are millions of others.
4). 20/25 Cook up three equal ratios.
1. divide top and bottom by 5 . . . . . 4/5
2. multiply top and bottom by 4 . . . . 80/100
3. multiply top and bottom by 3 . . . . 60/75
These are just some that I chose.
There are millions of others.
5). 5/6 Cook up three equal ratios.
1. multiply top and bottom by 2 . . . . 10/12
2. multiply top and bottom by 3 . . . .
3. multiply top and bottom by 9 . . . . 45/54
These are just some that I chose.
There are millions of others.
6). 10/14 Cook up three equal ratios.
1. divide top and bottom by 2 . . . . 5/7
2. multiply top and bottom by 2 . . . .
3. multiply top and bottom by (you choose) . . . .
Answer:
11y + 1z
Step-by-step explanation:
Like terms are ones that have the same variable (or set of variables).
8y - 4z + 3y + 5z
= (8 +3)y +(-4 +5)z
= 11y +1z
__
Usually written as 11y+z.
Answer:
i love math 21
Step-by-step explanation:
hehe
