The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.
<h3>What is
trigonometric ratio?</h3>
Trigonometric ratio is used to show the relationship between the sides and angles of right angled triangle.
Let d represent the horizontal distance from the base of the skyscraper out to the ship. Since the angle of depression is 67°, hence:
Angle = 90 - 67 = 23°
Using trig ratio:
tan(23) = d/1143
d = 485.2 feet
The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.
Find out more on trigonometric ratio at: brainly.com/question/24349828
Answer:
8x^3 + 4x^2 + 4x -7
Step-by-step explanation:
Add like terms.
The total number of dancers in the school is 150.
Call T the price of the T-shirts and P de price of the jeans
Initially (without discount)
2T + P = 40
One month later (half prices)
2 (T/2) + 5(P/2) = 60
T +5P/2 = 60
To solve the system of equations multiply the second equation by 2 and substract it from the first equation
2 T + 5P = 120
- (2 T + P = 40 )
________________
4P = 80
P = 80/4
P = 20
From 2T + P = 40
T = (40 - P) / 2 = (40 -20) / 2 = 20/2 = 10.
The price of a T-shirt is $10 and the price of a pair of jeans is $20.
