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xeze [42]
3 years ago
15

Carl is standing the top of 35ft cliff looking down at a rock for notion in the sea. He estimates the angle of depression to the

formation is 30' . What is the hozonal distance from Carl to the island?
Mathematics
1 answer:
dolphi86 [110]3 years ago
5 0

Answer:

70 ft

Step-by-step explanation:

If you draw a diagram, a right triangle is formed from this scenario. Because Carl is directly 35 ft above the ground, this represents the opposite side length in the triangle model. The distance between Carl and island would represent the hypotenuse.

The trig function that corresponds with opposite and hypotenuse legs is Sine.

The equation is sin(30°) = \frac{35}{h}

sin(30) is 1/2. The value of h that would make this equation true is 70. Therefore he is 70 feet away from the island

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If y varies directly with x when y=1/3 and x = 12, find x if y is 4.
Nikitich [7]

Answer:

x = 144

Step-by-step explanation:

y α x

we introduce a constant 'k' when changing from α to =.

i.e y = kx

y = ⅓ when x = 12

Meaning, ⅓ = k * 12

⅓ = 12k

k = ⅓ ÷ 12

k = 1/36

If y = 4, x = ?

using the equation y = kx

4 = (1/36)x

x = 4 ÷ (1/36)

x = 4 * 36

x = 144

6 0
4 years ago
A phone is on sale for 40% off the original price is $550 what price will you pay
Leni [432]

Answer:

$330

Step-by-step explanation:

40% of $550 is $220

$550 - $220 = $330

3 0
3 years ago
A quadrilateral with 4 congruent sides is called a ____.
Natasha2012 [34]
That would be called a square :)
4 0
3 years ago
What scale factor was applied to the first rectangle to get the resulting image?
madam [21]

Answer:

The scale factor for the resultant rectangle is\frac{2}{5} units.

Step-by-step explanation:

Given two rectangles with sides 3 units and 7.5 units.

We have to find the scaling factors so that we can obtain bigger rectangle of 7.5 units from smaller rectangle of 3 units.

Scale factor is defined as the ratio  of corresponding side of given figure to the corresponding side of resulting figure.

That is \text{Scale factor}=\frac{\text{length of side of given figure}}{\text{length of side of resulting figure}}

Here, \text{Scale factor}=\frac{\text{length of side of given rectangle }}{\text{length of side of resulting rectangle}}

\text{Scale factor}=\frac{3}{7.5}=\frac{2}{5}

Hence, the scale factor for the resultant rectangle is\frac{2}{5} units.  

4 0
3 years ago
carlos won 83 lollipops playing the bean bag toss at his schools game night. Later, he gave three to each of his friends. Write
Troyanec [42]
Let y= how many lollipops he has left
Let x= how many friends he has
y=83-3x
6 0
3 years ago
Read 2 more answers
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