Since angle of depression = 72°54 minutes.
60 minutes = 1°
54 minutes = 54/60 = 0.9°
Therefore 72°54 minutes = 72° + 0.9° = 72.9°
Since angle of depression = 72.9°, the reverse angle of elevation = 72.9°
(Picture representation of this using right angled triangle is needed)
tan 72.9° = Opposite height / Horizontal distance
tan 72.9° = 1191 / x
x = 1191 / tan 72.9 Use a calculator.
x ≈1191 / 3.2506
x ≈ 366.39
Horizontal distance ≈ 366.39 feet.
Hope this helped.
Answer:
<h2>The total number of outcomes is 8.</h2>
Step-by-step explanation:
We know that there are different golf balls, white and pink, orange and purple, yellow and red. There are three jars with two golf balls each.
If Kendall chooses one golf ball from each jar, the total number of balls selected would be 4. Now, there are two different colors per jar, and 8 total golf balls with different colors. But, the sets can't have repetitions, and the order matters.
Having said that, the total number of possible sets is:
- White, Orange, Yellow.
- White, Purple, Red.
- White, Orange Red.
- White, Purple, Yellow.
- Pink, Orange, Yellow.
- Pink, Purple, Red.
- Pink, Purple, Yellow.
- Pink, Orange, Red.
Notice that these eight outcomes includes all possible results.
Therefore, there are 8 possible outcomes.
It is better if you purchase the 12 pack of 1.4 to point one ounce bars for 2 cents less and get more and pay less and get more
Answer:
XZ > XY > YZ
Step-by-step explanation:
1. Approach
To solve this problem, one must find the value of (x), then the measure of every angle in the triangle. Remember, the sum of all angles in a triangle is equal to 180 degrees. Another property of a triangle is that the largest side of a triangle will be opposite the largest angle of the triangle, conversely, the smallest side of a triangle will be opposite the smallest angle in the triangle.
2. Find the value of (x)
The sum of all angles in a triangle is equal to 180 degrees. Using this theorem, one can state,
m<X + m<Y + m<Z = 180
Substitute,
(50) + (5x + 10) + (5x) = 180
Simplify,
10x + 60 = 180
Inverse operations,
10x + 60 = 180
-60 -60
10x = 120
/10 /10
x = 12
3. Find the measure of each angle
Now substitute the value of (x) into the expressions given to represent the value of each angle.
m<X = 50
m<Y = 5x + 10 = 5(12) + 10 = 60 + 10 = 70
m<Z = 5x = 5(12) = 60
4. Now apply this to find the comparative lengths of the sides
One property of a triangle is that the side opposite the largest angle in the triangle is the largest side. Moreover, the side opposite the smallest angle in a triangle is the smallest side. In this problem, it is impossible to find the exact lengths of the sides of the triangle, but one can find out which side is larger or smaller than the other side.
m<Y = 70
m<Z = 60
m< X = 50
<u>m<Y</u> > <u>m<Z</u> > <u>m<X</u>
Side XZ is opposite m<Y
Side XY is opposite m<Z
Side YZ is opposite m<X
This means,
XZ > XY > YZ