Please help with slope!

The leaning tower of niles is 94 feet high and makes an angle of 85.5 degrees from the ground to the top of the tower. If you dr

Brut [27]

Answer:

Distance of the keys on ground from the base of the tower = 7.38 ft

Step-by-step explanation:

Given:

Height of tower = 94 ft

Tower is leaning and makes an angle of 85.5 degrees from the ground.

Keys are dropped from the top of the tower.

To find the distance of the keys on ground from the base of the tower.

From the data given to us we can construct a right triangle ABC.

For the Δ ABC

AB= 94 ft

∠A= 85.5°

We can apply trigonometric ratio to find side BC which is the distance of the keys on ground from the base of the tower.

Using cosine ratio: $\cos\theta=\frac{Adjacent\ side}{Hypotenuse}$

In Δ ABC

$\cos85.5\°=\frac{AC}{AB}$

Multiplying both sides by AB.

$AB\cos 85.5\°=\frac{AC}{AB}\times AB$

$AB\cos 85.5\°=AC$

$AC=AB\cos 85.5\°$

Substituting value of AB and cos 85.5°

$AC=94\cos 85.5\°$

∴ $AC=7.38\ ft$

Distance of the keys on ground from the base of the tower = 7.38 ft

7 0

2 years ago

Which graph represents the solution set of the system y ≤ x2 – 1 and x > y2 – 6?

mario62 [17]

Answer:

The answer is the fourth option.

Step-by-step explanation:

3 0

1 year ago

Read 2 more answers

-2 = g - 9 solve equation

jekas [21]

OK. Hold on tight. Here we go.
Remember ... the "solution" is the number that 'g' must be
in order to make the equation a true statement.

The original equation: You said that -2 = g - 9

Now, let's add 9 to each side: 7 = g .

8 0

2 years ago

Read 2 more answers

Let g(x)=Intragal from 0 to x f(t) dt, where r is the function whos graph is shown.

leonid [27]

If

$\displaystyle g(x) = \int_0^x f(t) \, dt$

then g(x) gives the signed area under f(x) over a given interval starting at 0.

In particular,

$\displaystyle g(0) = \int_0^0 f(t) \, dt = 0$

since the integral of any function over a single point is zero;

$\displaystyle g(4) = \int_0^4 f(t) \, dt = 8$

since the area under f(x) over the interval [0, 4] is a right triangle with length and height 4, hence area 1/2 • 4 • 4 = 8;

$\displaystyle g(8) = \int_0^8 f(t) \, dt = 0$

since the area over [4, 8] is the same as the area over [0, 4], but on the opposite side of the t-axis;

$\displaystyle g(12) = \int_0^{12} f(t) \, dt = -8$

since the area over [8, 12] is the same as over [4, 8], but doesn't get canceled;

$\displaystyle g(16) = \int_0^{16} f(t) \, dt = 0$

since the area over [12, 16] is the same as over [0, 4], and all together these four triangle areas cancel to zero;

$\displaystyle g(20) = \int_0^{20} f(t) \, dt = 24$

since the area over [16, 20] is a trapezoid with "bases" 4 and 8, and "height" 4, hence area (4 + 8)/2 • 4 = 24;

$\displaystyle g(24) = \int_0^{24} f(t) \, dt = 64$

since the area over [20, 24] is yet another trapezoid, but with bases 8 and 12, and height 4, hence area (8 + 12)/2 • 4 = 40, which we add to the previous area.

5 0

2 years ago

Help asap

ZanzabumX [31]

Your fruit punch recipe can be composed of 4 juice containers of lemonade, 2 juice containers of orange juice, 2 juice containers of grape juice, 2 juice containers of apple juice, 2 juice containers of cranberry juice, and 2 juice containers of pineapple juice.

<h3>Unit conversion</h3>

Unit conversion is a tool very useful to solve some questions. For this exercise, you should know that 1 liter (l) = 1000 milliliters (ml).

The question asks you a design your own fruit punch recipe with exactly 5 liters of punch and includes at least three of the juice.

You have several options, an alternative is to use all juices.

Step 1 - Convert the units for each given juice containers

250 milliliters of lemonade = 0.250 l of lemonade juice

500 milliliters of orange juice = 0.500 l of orange juice

250 milliliters of grape juice = 0.250 l of grape juice

250 milliliters of apple juice= 0.250 l of apple juice

500 milliliters of cranberry juice = 0.500 l of cranberry juice

500 milliliter’s of pineapple juice = 0.500 l of pineapple juice

Step 2 -Design your own fruit punch recipe with exactly 5 liters

4 juice containers of lemonade = 4* 0.250 l = 1 l of lemonade

2 juice containers of orange juice= 2* 0.500 l = 1 l of orange juice

2 juice containers of grape juice= 2* 0.250 l = 0.500 l of grape juice

2 juice containers of apple juice= 2* 0.250 l = 0.500 l of apple juice

2 juice containers of cranberry juice= 2* 0.500 l = 1 l of cranberry juice

2 juice containers of pineapple juice= 2* 0.500 l = 1 l pineapple juice

Thus, your own fruit punch recipe is composed of: 4 juice containers of lemonade, 2 juice containers of orange juice, 2 juice containers of grape juice, 2 juice containers of apple juice, 2 juice containers of cranberry juice, and 2 juice containers of pineapple juice.

Read more about the unit conversion for capacity here:

brainly.com/question/14965845

4 0

1 year ago