Answer: the distance of the boat from the foot of the lighthouse is 290.5 feet.
Step-by-step explanation:
The right angle triangle ABC representing the scenario is shown in the attached photo.
Angle A is alternate to the angle of depression, hence, they are the same.
The height of the lighthouse represents the opposite side of the right angle triangle. The distance, x of the boat from the foot of the lighthouse represents the adjacent side of the right angle triangle.
To determine x, we would apply
the tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan 11.1 = 57/x
x = 57/Tan 11.1 = 57/0.1962
x = 290.5 feet to the nearest tenth.
Answer: 32 dancers
Step-by-step explanation:
I drew a chart and on the side with the singers you count by 5's until u get to 30. On the dancers side of the chart you count by 6's until it lines up with 30 on the singers side.
Answer:
Step-by-step explanation:
Let the cost of apples be x
<u>Then we have equation:</u>
- (9 - 1.5)x = 15
- 7.5x = 15
- x = 15/7.5
- x = 2
<u>Cost of apple:</u> $2 per pound
Answer:
3
Step-by-step explanation:
dy/dx = 6dx/dx -1dy/dx
dy/dx= 6 - 1dy/dx
2dy/dx= 6
dy/dx = 3
<span>A rabbit’s heart rate should be 120-150 beats per minute so you just multiply 120 by 60 and 150 by 60 and the numbers in between that should be the amount of times a rabbit hearts beats in one hour. 60 x 120 = 7,200 and 60 x 150 = 9,000. A rabbit's heart beats between 7,200 and 9,000 times an hour. </span>
