Answer:
Step-by-step explanation:
on the edge of a cliff overlooking the Pacific ocean. You see a sailboat down in the water below you. The angle of depression to the sailboat is 28◦ . A quick tells you that the cliff you’re standing on is 150ft. How far away from the boat are you, in feet, rounded to one decimal place?(30pts)
We solve using the Trigonometric function of TANGENT
tan 28 = 150/x
Answer:
The height of near by tree will be 90 feet.
Step-by-step explanation:
Considering the water triangle as shown in figure a.
As the old faithful shoots water 60 feet into the air that casts a shadow of 42 feet.
Considering the tree triangle as shown in figure a. The tree triangle has a shadow 63 feet long.
Let x be the height of near by tree that cost a shadow 63 feet long.
Assuming that the triangles are similar
So,
the ratios of similar triangles will be related as:




feet
Therefore, the height of near by tree will be 90 feet.
Keywords: ratio, similar triangle
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Remember when you learning about the "Least Common
Multiple" and you wondered when in the world you would
ever need to use it ?
Well, here you are ! Hello !
The next time they will cross the starting line together is the
LCM (Least Common Multiple) of 30 and 40 .
Do you remember how to find it ?
Here's one easy way:
Count by 30s until you come to a number that's divisible by 40 .
Laura's first lap. . . . . . . . 30 seconds . . . not divisible by 40
Laura's two laps . . . . . . . 60 seconds . . . not divisible by 40
Laura's three laps. . . . . . 90 seconds . . . not divisible by 40
Laura's four laps. . . . . . 120 seconds . . . divisible by 40
After 120 seconds, Laura has completed four laps,
Shelby has completed only three laps.
Answer:
B
Step-by-step explanation:
We can notice that based on the given pattern, the average rate of change from
to
, where
, is
.
So, the average rate of change from
to
is
.