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3 years ago

14

A 20 foot extension ladder liens against a building if the base of the latter is placed 6 feet from the base of the building wha

t is the angle of elevation of the latter

1 answer:

goldenfox [79]3 years ago

6 0

For this problem, you're going to need to use trig. More specifically, you need to use the tangent function:

tan (value) = opposite/adjacent

tan 75 = opposite/8 (Here, the opposite side is the length of the ladder)

8 * tan 75 = opposite

29.8564065 = opposite

So, the ladder is 29.9 feet.

You might be interested in

The hours of daylight, y, in Utica in days x from January 1, 2013 can be modeled by the equation y = 2.89sin(0.0145x-1.40) + 10.

Pie

Answer:

9.3 hours

Step-by-step explanation:

Given

$y = 2.89\sin(0.0145x-1.40) + 10.99.$

Required

Hours of sunlight on Feb 21, 2013

First, calculate the number of days from Jan 1, 2013 to Feb 21, 2013

$days = 52$

So:

$x = 52$

So, we have:

$y = 2.89\sin(0.0145x-1.40) + 10.99.$

$y = 2.89\sin(0.0145*52-1.40) + 10.99.$

$y = 2.89\sin(0.754-1.40) + 10.99.$

$y = 2.89\sin(-0.646) + 10.99.$

$y = 2.89*-0.6020 + 10.99.$

$y = -1.740 + 10.99.$

$y = 9.25$

<em></em> $y = 9.3$ <em> --- approximated</em>

8 0

2 years ago

Max has 5 red model cars. One third of his model cars are red. How many model cars does he have?

lara [203]

15. 5 times 3 is 15.
If you check, 15 divided by 3 is 5(red cars).

7 0

3 years ago

Read 2 more answers

Find the equation of the linear function represented by the table below in slope-intercept form.

Sedaia [141]

Answer:

y=-4x-5

Step-by-step explanation:

The slope of the line is - 4, the equation of line is y=-4x-5

7 0

2 years ago

Solve the following equation:<br> x2 = 64<br><br> x = 32<br> X = 8<br> x = -8<br> x = 8 or x = -8

zepelin [54]

Answer:

X=±8

Step-by-step explanation:

x²=64

x²=8²

X=±✓8²

X=±8

8 0

2 years ago

Which represent geometric sequences? A marathon runner runs half of a race, then runs half the distance left to the finish line,

dimulka [17.4K]

Answer:

Step-by-step explanation:

1). Let the length of a marathon race = x miles

Marathon runner runs this race in the sequence formed as,

$\frac{x}{2},\frac{x}{4},\frac{x}{8}.........$

Common ratio = $\frac{\frac{x}{4}}{\frac{x}{2}}$

= $\frac{x}{4}\times \frac{2}{x}$

= $\frac{1}{2}$

Therefore, it's a geometric sequence.

2). First movie rental cost = $2

Followed by each additional movie rental cost = $1

Therefore, rental of movies will be in the form of a linear equation,

y = 2x + 1

where x = number of movies

And y = Rental of movies

It's not a geometric sequence.

3). 10, 1, 0.1, 0.01.......

Ratio in 2nd and 1st term = $\frac{1}{10}=0.1$

Ratio in 3rd and 2nd term = $\frac{0.1}{1}=0.1$

Therefore, ratio in each term is common.

Sequence formed will be a geometric sequence.

4). $\sum_{k=1}^{7}4(0.2)^{k-1}$

Expression represents a common ratio of 0.2,

Therefore, expression given will represent a geometric sequence.

5). -4, 20, -100, 500, ...........

Ratio of 2nd and 1st term = $\frac{20}{-4}$ = -5

Ratio of 3rd and 2nd term = $\frac{-100}{20}$

= -5

There is a common ratio = -5

Therefore, it's a geometric sequence.

6). -1, 5, 11, 17.........

Ratio of 2nd and 1st term = $\frac{5}{-1}=-5$

Ratio of 3rd and 2nd term = $\frac{11}{5}=2.2$

-5 ≠ 2.2

Therefore, sequence is not a geometric sequence.

7). -500, 100, -20, 4........

Ratio of 2nd and 1st term = $\frac{100}{-500}=-\frac{1}{5}$

Ratio of 3rd and 2nd term = $\frac{-20}{100}=-\frac{1}{5}$

7 0

2 years ago