(5, 13) and (10, 10 slope
1 answer:
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Answer:
$10.5 and $7.75
Step-by-step explanation:
Let Landon's hourly rate at babysitting job be and at water park be
now, for the first week Landon babysat for 3 hours and worked at the water park for 10 hours and made 109$.
⇒ ....(1)
Next week Landon babysat for 8 hours and worked at the water park for 12 hours and made 177$.
⇒ ....(2)
From equation (2) we get
....(3)
Substituting value of from equation (3) to equation (1) we get
Using value of x in equation (1) we get
Hence hourly rate for Landon for babysitting job is $10.5 and for water park job is $7.75
The distances from the point the plane leaves the ground are given by the
trigonometric relationships of right triangle and Pythagoras theorem.
- A) The minimum distance to the base of the tower is approximately <u>874.57 ft</u>.
- B) The minimum distance to the top of the tower is approximately <u>882.76 ft</u>.
Reasons:
A) The angle with which the airplane climbs, θ = 11°
Height of the tower which the airplane flies, T = 120 foot
The clearance between the tower and the airplane, C = 50 feet
Required:
The minimum distance between the point where the plane leaves the ground and the base of the tower,
Solution:
Height at which the plane flies over the tower, h = T + C
Therefore, h = 120 ft. + 50 ft. = 170 ft.
At the point the plane leaves the ground, we have;
Which gives;
- The minimum distance between the point where the plane leaves the ground and the base of the tower,
≈ <u>874.57 ft</u>.
B) The minimum distance between the point where the plane leaves the ground and the tower, <em>R</em>, is given by Pythagoras's theorem as follows;
R² = ² + T²
Which gives;
R = √(*874.57 ft.)² + (120 ft.²)) ≈ 882.76 ft.
- The distance from the point where the airplane leaves the ground to the tower, R ≈ <u>882.76 ft</u>.
Learn more about Pythagoras theorem here: