In the diagram below point P (4;3)is given and 0° < theta < 90°
Calculate the length of OP
We cannot provide the diagram as there is no attachment. However, we can use the given information to calculate the length of OP.
We know that OP represents the distance from the origin (0;0) to point P (4;3). Using the Pythagorean theorem, we can calculate the length of OP as follows:
OP^2 = (4-0)^2 + (3-0)^2
OP^2 = 16 + 9
OP^2 = 25
OP = √25
OP = 5
Therefore, the length of OP is 5 units.
To calculate the length of OP, we need to use the coordinates provided. In this case, the coordinates given for point P are (4, 3).
To find the length of OP, we can use the formula for the distance between two points in a plane. Applying this formula, the length of OP can be calculated as:
OP = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) = (0, 0) represents the origin point O and (x2, y2) = (4, 3) represents point P.
Substituting the values into the formula:
OP = sqrt((4 - 0)^2 + (3 - 0)^2)
= sqrt(4^2 + 3^2)
= sqrt(16 + 9)
= sqrt(25)
= 5
Therefore, the length of OP is 5 units.