A 30-ft. ladder makes an angle of 60 degrees with the horizontal when it reaches a given spot on a wall. What angle will a 35-ft. ladder make the horizontal if it reaches the sample spot?

Answers

Answer 1
Answer:

The angle will a 35-ft. ladder make the horizontal if it reaches the sample spot is sin^(-1)(47.93).

Given that,

A 30-ft. ladder makes an angle of 60 degrees with the horizontal.

We have to find,

The angle will a 35ft.ladder make the horizontal if it reaches the sample spot.

According to the question,

A 30-ft. ladder makes an angle of 60 degrees with the horizontal when it reaches a given spot on a wall.

sin\theta = (h)/(30) \nsin60 = (h)/(30) \n

h = 30sin60

Then, the angle will a 35-ft. ladder make the horizontal if it reaches the sample spot.

sin\alpha = (30sin60)/(35)\nsin\alpha = (6 sin60)/(7) \n\alpha = sin^(-1)(47.93)

Hence, The angle will a 35-ft. ladder make the horizontal if it reaches the sample spot is sin^(-1)(47.93)

For more information about Trigonometry click the link given below.

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Answer 2
Answer: So first you must find the height at which the "spot" is where the ladder touches the wall...

sin60=h/30

h=30sin60

Now we can find the angle that the 35 ft ladder make when it touches the same spot.

sinα=h/35  and using h we found earlier...

sinα=(30sin60)/35

α=arcsin[(30sin60)/35]

α≈47.93  (α≈47º55'42")

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Write an equation in slope-intercept form for the line that passes through (4,5) and parallel to the to the line described by y=5x+10

Answers

Answer:

y = 5x-15

Step-by-step explanation:

Parallel ⇒ So the slopes will definitely be equal

So,

Slope = m = 5

Now,

Point = (x,y) = (4,5)

So, x = 4, y = 5

Putting these in the slope intercept form to get b

y = mx +b \n

5 = (5)(4) + b

5 = 20 + b

b = -20+5

b = -15

So, Putting m and b in the slope intercept form to get the required equation,

y = 5x-15

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f(x) = (2x -6,
{
x < 2
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Answers

Answer:

Step-by-step explanation:

Hope it helps

Determine if 0.84375 is rational or irrational and give a reason for your answer.Reasons Below

Answers

Answer: Rational because it is a decimal that terminates.

Step-by-step explanation:

A rational number can be expressed as a ratio/ fraction of two integers so there are several methods of knowing if a number is rational or irrational.

One such way is if it is a decimal that terminates. A terminating decimal is one that has a set amount of numbers after the decimal and hence does not continue forever. This number is rational because it can be expressed as a fraction.

0.84375 in fraction form would be, 84,375/100,000.

Which expression is equivalent to StartRoot 200 EndRoot?A) 2 StartRoot 10 EndRoot
B) 10 StartRoot 2 EndRoot
C) 10 StartRoot 20 EndRoot
D) 100 StartRoot 2 EndRoot

Answers

Answer:

Answer

is B

10√2

Step-by-step explanation:

is: √200

Simplifying the given expression, we get:

200 = 2 x 2 x 2 x 5 x 5

⇒ 200 = (2)² x (5) ² x 2

Answer:

b

Step-by-step explanation:

Evaluate 3.2 + 6 to the second power minus 2 * 7.2 show your work will mark brainiest

Answers

3.2 + 6^2 - 2 * 7.2

3.2 + 36 - 2 * 7.2

3.2 + 36 - (-14.4)

3.2 + 36 + 14.4

24.8

24.8 is your answer.

which of the following is a Quadrilateral which must contain diagonals that are always congruent and must always have 90° angles?

Answers

Answer: B

Step-by-step explanation: