Air traffic controller Seymour Plains must quickly calculate the altitude of an incoming jet. He records the jet’s angle of elev
ation as 8°. The jet signals that its land (horizontal) distance from the control tower is 74 km. Calculate the altitude of the jet to the nearest meter
1 answer:
Answer:
Altitude of the jet is 10.40km
Step-by-step explanation:
The angle of elevation = 8°
Horizontal distance (adjacent to the angle) = 74km
Altitude of the plane (opposite) = ?
Kindly check attached document for better illustration.
To solve this question, we have to use tangent rule since we have adjacent and angle, but no opposite.
Tanθ = opposite / adjacent
θ = 8°
Adjacent = 74km
Opposite = ?
Tan 8 = x / 74
Opposite = 74 * tan8
Opposite = 10.40
The altitude of the jet is 10.40km
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Part B: Mario paid a total of $28.50 including sales tax.
Step-by-step explanation:
Given that:
Part A:
Original price of video game = $32.99
Discounted price = $26.39
Amount of discount = 32.99 - 26.39 = $6.60
Discount percent =
Discount percent =
Discount percent = 20%
Part B:
Sales tax = 8% of discounted price
Amount of sales tax =
Amount of sales tax = $2.11
Total amount = $26.39 + $ 2.11 = $28.50
Hence,
Part A: The percent discount on game is 20%.
Part B: Mario paid a total of $28.50 including sales tax.