Answer:
Step-by-step explanation:
Let assume that Earth is a sphere, the following trigonometric diagram is constructed and presented below. The central angle is given by this inverse trigonometric equation:
The distance of the portion of Earth that can be seen is:
Answer: 34.64 m
Step-by-step explanation:
Given: A boat is 60 m from the base of a lighthouse.
The angle of depression between the lighthouse and the boat is 37°.
By using trigonometric ratios :
here x= 37°, side opposite to x = height of lighthouse (h) , side adjacent to x = 60 m
Hence, the lighthouse is 34.64 m tall.
Answer:
Therefore,
(x , y) YES / NO
(-4, -5) Yes, It is a Solution.
(1 , - 3) No, not a Solution.
(9 , 6) No, not a Solution.
(-6 , 2) No, not a Solution.
Step-by-step explanation:
Given:
To Determine:
Given ordered pair is a solution or not ?
Solution:
For (-4,-5)
Substitute x = -4 and y = -5 in above equation
Left Hand Side = 4 × (-4) - 7 × (-5)
= -16+35
= 19
Right Hand Side = 19
Left Hand Side = Right Hand Side
Satisfied
Hence (-4, -5) is the SOLUTION to 4x - 7y =19 (YES)
For (1, -3)
Substitute x = 1 and y = -3 in above equation
Left Hand Side = 4 × (1) - 7 × (-3)
= 25
Right Hand Side = 19
Left Hand Side ≠ Right Hand Side
Not Satisfied
Hence (1, -3) is NOT the Solution to 4x - 7y =19 (NO)
For (9, 6)
Substitute x = 9 and y = 6 in above equation
Left Hand Side = 4 × (9) - 7 × (6)
= -6
Right Hand Side = 19
Left Hand Side ≠ Right Hand Side
Not Satisfied
Hence (9, 6) is NOT the Solution to 4x - 7y =19 (NO)
For (-6, 2)
Substitute x = -6 and y = 2 in above equation
Left Hand Side = 4 × (-6) - 7 × (2)
= -38
Right Hand Side = 19
Left Hand Side ≠ Right Hand Side
Not Satisfied
Hence (-6, 2) is NOT the Solution to 4x - 7y =19 (NO)
Therefore,
(x , y) YES / NO
(-4, -5) Yes, It is a Solution.
(1 , - 3) No, not a Solution.
(9 , 6) No, not a Solution.
(-6 , 2) No, not a Solution.