Answer:
a) 2.5
b)2.33
Step-by-step explanation:
a)
Bring the numerals to the right hand side and the x terms to the left hand side
Simplify
Divide 3 on both sides, to get x
b)
Bring the numerals to the right hand side and the x terms to the left hand side
Simplify
Answer:
see explanation
Step-by-step explanation:
There is a right triangle formed between the height above the tower to the plane, the horizontal and the line from the tower to the plane.
The height above the tower to the plane = 13000 - 150 = 12850 ft
The angle between the plane and the tower is 20° , angle of depression.
Using the tangent ratio in the right triangle formed, with the adjacent side being the horizontal ( hor ) distance, then
tan20° = =
( multiply both sides by hor)
hor × tan20° = 12850 ( divide both sides by tan20° )
hor = ≈ 35305 ft ( to the nearest foot )
(2)
Arianna is 60 + 5 = 65 ft above the ground ( to her eye level )
Using the right triangle formed with legs 65 and 37 and angle of depression x, then
tanx° = =
, thus
x = (
) ≈ 30° ( to the nearest degree )
The horizontal distance between Carl and the rock at sea is approximately 60.62ft.
Data;
Given the angle of depression from his point to the sea, we can use trigonometric ratio to calculate for the horizontal distance from his location to the bottom of the sea.
SOHCAHTOA
Since we have the value of angle and opposite and we need to calculate the adjacent side of the right-angle triangle, we can use the tangent of the angle to this effect.
The horizontal distance between Carl and the rock at sea is approximately 60.62ft.
Learn more on trigonometric ratio here;