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2 years ago

A person can see the top of a building at an angle of 65°. The person is standing 50 ft away from

Mathematics

1 answer:

zhannawk [14.2K]2 years ago

6 0

9514 1404 393

Answer:

(b) 112.2 ft

Step-by-step explanation:

The relevant trig relation is ...

Tan = Opposite/Adjacent

For the given geometry, this becomes ...

tan(65°) = (height above eye level)/(50 ft)

Then we have ...

(height above eye level) = (50 ft)tan(65°) = 107.2 ft

Adding the height of eye level will give us the height of the building.

building height = (eye level height) + (height above eye level)

building height = (5 ft) + (107.2 ft)

building height = 112.2 ft

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serious [3.7K]

Step-by-step explanation:

Well first let's find the derivative in using the power rule

h'(t) = (-4.9)t + 157

h'(t) = -9.8t + 157

we can see from the image above that the maximum height is 1452.602 so that is the answer to the second question.

h'(1452.602) = -9.8(1452.602) + 157

h' = 14,078.500

5 0

1 year ago

After a baseball is hit, the height h (in feet) of the ball above the ground t seconds after it is hit can be approximated by th

lubasha [3.4K]

Answer:

The ball will take 4.05 seconds to hit the ground.

Step-by-step explanation:

we have

$h=-16t^{2}+64t+3$

This is a quadratic equation (vertical parabola) open down

The vertex is a maximum

we know that

The ball hit the ground when h=0

Solve the quadratic equation

For h=0

$-16t^{2}+64t+3=0$

The formula to solve a quadratic equation of the form

$at^{2} +bt+c=0$ is equal to

$t=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^{2}+64t+3=0$

$a=-16\\b=64\\c=3$

substitute in the formula

$t=\frac{-64(+/-)\sqrt{64^{2}-4(-16)(3)}} {2(-16)}$

$t=\frac{-64(+/-)\sqrt{4,288}} {-32}$

$t=\frac{64(-)\sqrt{4,288}} {32}=-0.05\ sec$ ---> the time cannot be a negative number

$t=\frac{64(+)\sqrt{4,288}} {32}=4.05\ sec$

therefore

The ball will take 4.05 seconds to hit the ground.

4 0

2 years ago

The cost to rent a raft is $7 per person. A raft can hold up to 6 people. There is a $3 launch fee per raft. What is the total c

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So 3 is where the charging starts and $7 per 6 people-
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8 0

2 years ago

Solve the system of linear equations using any method 6x+6y=-6, 5x+y=-13

Sergio [31]

Answer:

x=-3

y=2

Step-by-step explanation:

To solve this problem you can use the elimination method:

- Multiply the second equation by -6:

$(-6)5x+y=-13\\-30x-6y=78$

- Add both equations:

$6x+6y=-6\\-30x-6y=78\\-------\\-24x=72\\x=-3$

- Substitute the value of x into one of the original equations and solve for y:

$6(-3)+6y=-6\\-18+6y=-6\\6y=12\\y=2$

8 0

2 years ago

Read 2 more answers

8(13 + 2y)

antoniya [11.8K]

It’s answer C. You multiply 8 & 13, which will give you 104. Then, multiply 8 & 2y, which will also give you 16y.

7 0

2 years ago