Answer:
The distance of the plane from the base of the tower is 25.5 foot.
Step-by-step explanation:
As given
Max is in a control tower at a small airport.
He is located 50 feet above the ground when he spots a small plane on the runway at an angle of depression of 27°.
Now by using the trigonometric identity.

As shown in the figure given below
Perpendicular = CB
Base = AC = 50 feet

Put in the identity.



Put in the above

CB = 0.51 × 50
CB = 25.5 foot
Therefore the distance of the plane from the base of the tower is 25.5 foot.
Answer:
1. wire is approx. 143.96 ft
2. pole is approx. 106.55 ft
Step-by-step explanation:
Mapping the information on the SOHCAHTOA picture below:
Φ = 46
wire = hypotenuse
adjacent side = 100
CAH is most suitable:
cos 46° = 100/wire => wire = 100/cos 46 ≈ 143.96
pole = opposite side + 3
TOA is most suitable:
tan 46° = (pole-3)/100 => pole = 3 + 100 * tan 46 ≈ 106.55
Answer:
The per hour rate is 0.5 inches per hour
Step-by-step explanation:
Here, we want to calculate the rate at which the level of the water increased
Mathematically, we can get this by dividing the amount of increment by the time it took
That would be 3 inches divided by 6 hours
= 3/6 = 0.5 inches per hour
Answer:
19
/72
≈0.264
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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