Answer:
36 will be the measure.
Hope it helps!!!
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
This will involve finding an arctangent.
We'll consider the woman's height as the "opposite" side of a triangle and the shadow as the "adjacent" side. The angle that the Sun makes equals the arc tangent of that angle.
tan (Sun's angle) = 71" / 36"
tan (Sun's angle) =
<span>
<span>
<span>
1.9722222222
</span>
</span>
</span>
when we determine the arc tangent of 1.9722222222, it will equal the Sun's angle.
arc tangent of 1.9722222222 = 63.113 degrees
Answer:
You kayak 255 feet farther 5 minutes on the way down the river than in 5 minutes on the way up the river
Step-by-step explanation:
Given:
The rate at which you kayak up a river = 48 feet every 30 seconds.
The rate at which you kayak down a river = 423 feet every 3 minutes
To Find:
How much farther do you kayak in 5 minutes on the way down the river than in 5 minutes on the way up the river = ?
Solution:
Let the speed with which you kayak up the river be x and the speed with which you kayak down the river be y
Then
x =
[ Converting 30 seconds to 0.5 minutes]
x = 96 feet per minute
Similarly
y =
y = 141 feet per minute
Now the distance kayaked up the river in 5 minutes
=>
=>
( in 5 minutes there are 10 30 minutes)
=>960 feet
Now the distance kayaked down the river in 5 minutes
=>
=>
( in 5 minutes there are 10 30 minutes)
=>705 feet
Thus
960-705 = 255 feet
4.560, 4.561, 4.562, 4.563, 4.564......all of these, when rounded to the nearest hundredth = 4.56