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°.
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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:
Each student gets 0.3 liters or 300 milliliters of orange juice.
Step-by-step explanation:
3 liters = 3000 milliliters
3L/10 or 3000ml/10 = 0.3 L or 300 ml
Your answer is simple times 6 to 3 to get 18 then 15 by 8 to get 96 then add up everything to get 114
Answer:
Step-by-step explanation:
Total amount of apples that Nicole bought was 6 pounds.
Each pound of apple cost $1.50
This means that the total cost of the 6 pounds of apple that Nicole bought would be
6 × 1.5 = $9
The store had a discount of $2 off her total purchase. This means that the amount that was paid is
9 - 2 = $7
If Nicole and her friend then divided the cost of the purchase evenly, let x represent the amount that each of them would pay. Therefore, the expression that can be used to determine how much Nicole and her friend each paid for the apples would be
x = 7/2
Answer:
598 meters
Step-by-step explanation:
In the problem, the word 'decend' means to decrease in elevation.
<u>Our equation:</u>
<u></u>
<u>Add</u><u> </u><u>153</u><u> </u><u>to</u><u> </u><u>both</u><u> </u><u>sides</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>equation</u><u>:</u>
598 meters represents the original height of the helicopter.