Answer:
58°
Step-by-step explanation:
A right triangle can be drawn to model the geometry of the problem. The hypotenuse of the triangle is the length of the string, 100 ft. The side opposite the angle is the height of the kite above the ground, 85 ft.
The mnemonic SOH CAH TOA reminds you of the relationship between sides and angles.
Sin = Opposite/Hypotenuse
sin(α) = (85 ft)/(100 ft) = 0.85
The angle whose sine is 0.85 is found using the arcsine (inverse sine) function:
α = arcsin(0.85) ≈ 58.2°
The angle of elevation is about 58°.
_____
When using your calculator to find the values of inverse trig functions, make sure it is in <em>degrees</em> mode. Otherwise, you're likely to get the answer in radians (≈ 1.01599 radians).
Answer:
5 1/10 meters
Step-by-step explanation:
18 4/5 can be changed to 18 8/10 so
18 8/10 - 13 7/10 = 5 1/10 meters
The amount of water decreases 
pints in 12 weeks.
Solution:
The amount of water decreases in 7 weeks = 
pints
The amount of water decreases each week is same.
Let us first change the mixed fraction into improper fraction.
pints = 
pints
The amount of water decreases in 1 week
So, the amount of water decreases in 1 week is 
pints.
The amount of water decreases in 12 week
pints
Hence the amount of water decreases pints in 12 weeks.
Answer:
Cyrus needs to order 3 full pizzas to feed his 11 friends .
Step-by-step explanation:
The number of friends invited = 11
Share of pizza for each friend = 1/4 pizza
Now, as 1 friend eats 1/4 of a pizza.
⇒ 11 friends eat = 
So, 11 friends can eat 2 .75 pizza.
Since pizza come as a whole number.
And 2. 75 is nearly equal to 3.00
Hence, Cyrus needs to order 3 full pizzas to feed his 11 friends .
Answer:
Step-by-step explanation:
<u>Volume of the prism:</u>
- V = Bh, where B- area of base, h- height
<u>Given:</u>
<u>Volume is:</u>
