Answer:
1) 51
2) 0.8
3) cosecant
Step-by-step explanation:
Question 1
The image for this scenario is attached below. Note that base of the television tower forms the side adjacent to the angle and the length of the tower forms the side opposite to the angle. The two angles marked in image are equal because of the property of Alternate Interior Angles.
So,
Adjacent side = 120 feet
Opposite side = 150 feet
Tangent of an angle is defined as:
Using the values, we get:
Rounded to the nearest degree, the angle of depression would be 51 degrees.
Question 2)
We have to find the cosine of angle Z. cos is defined as:
The side adjacent to angle Z is 24 and the hypotenuse is 30. So cos(Z) would be:
Therefore, value of cos(Z) for given triangle would be 0.8
Question 3
The opposite of sine ratio is known as cosecant which is abbreviated as csc
Since it is the opposite of sine ratio, it would be calculated as:
sine of angle is the ratio of opposite and hypotenuse, so csc would be ratio of hypotenuse to opposite side i.e.
Answer:
480 Boy
Step-by-step explanation:
The ratio of Boys = 4x
The ratio of Girls = 5x
The Number of Boys in the School = 4x + 5x = 1080
= 9x = 1080
= x = 1080/9
= x = 120
The ratio of Boys = 4x = 4 x 120 = 480
The ratio of Girls = 5x = 5 x 120 = 600
Hence, Number of Boys = 480
Ratio Boys to Girls = 480:600
[RevyBreeze]
Here it is given that,
Solution :
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More Information :
Here we have used BODMAS rule..
- B = Bracket
- O = of
- D = Division
- M = Multiplication
- A = Addition
- S = Subtraction
Simplify your regular answer then you'll get it.
What is the angle of elevation θ that is required for a hit ball to just clear the center field fence when it is hit 2 ft above the ground? Show all of your work and round your answer to the nearest hundredth of a degree.
Distance from Home plate to the center field fence: 425 ft
Height of the center field fence: 8 ft
____________________________
ANSWER:
The fence height = 8ft
The fence height takes 2 ft from the ground and doesn't count towards the angle.
Therefore subtract the difference = 8-2 = 6ft
The fence height from the 2ft to the fence top = 6ft
Angle of elevation (θ):
Tan(θ) = opposite/adjacent
Adjacent = Distance from Home plate to the center field fence = 425 ft
Opposite = 6ft
- Tan(θ) = 6/425
- Tan(θ) = 0.0141
- θ = arctan(0.0141)
- arctan = inverse of tangent = tan-¹
- θ = 0.8078°
- Angle of elevation (θ) = 0.81°