3 years ago

A 12 foot ladder leans against a wall, making an angle of 40° with the horizon. How far is the base of the ladder from the wall?

Mathematics

1 answer:

olga_2 [115]3 years ago

6 0

the base of the ladder is 18ft away from the wall

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Solve ABC <br>c=10, B=35°, C=65%

NISA [10]

Answer:

Part 1) The measure of angle A is $A=80\°$

Part 2) The length side of a is equal to $a=10.9\ units$

Part 3) The length side of b is equal to $b=6.3\ units$

Step-by-step explanation:

step 1

Find the measure of angle A

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

$A+B+C=180\°$

substitute the given values

$A+35\°+65\°=180\°$

$A+100\°=180\°$

$A=180\°-100\°=80\°$

step 2

Find the length of side a

Applying the law of sines

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{a}{sin(80\°)}=\frac{10}{sin(65\°)}$

$a=\frac{10}{sin(65\°)}(sin(80\°))$

$a=10.9\ units$

step 3

Find the length of side b

Applying the law of sines

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{b}{sin(35\°)}=\frac{10}{sin(65\°)}$

$b=\frac{10}{sin(65\°)}(sin(35\°))$

$b=6.3\ units$

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3 years ago

Triangle MNP is transformed according to the rule T(4,–1). What is the y-coordinate of M”?

weqwewe [10]

-1 because x is on the left and y is always on the right

8 0

4 years ago

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Find f ∘ g f∘g and g ∘ f g∘f. f ( x ) = x 2 / 3 , g ( x ) = x 9 f(x)=x2/3, g(x)=x9 (a) f ∘ g f∘g (b) g ∘ f g∘f Find the domain o

faltersainse [42]

I don’t know it’s soooo long:)

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3 years ago

Which method will determine the volume of the prism with dimensions 2 times 2 1/4 times 4 shown below

Tems11 [23]

Was increased by 1 inch, the new measure of each side would be 4 inches.

5 0

4 years ago

Write the equation in slope-intercept form. What are the slope and y-intercept?

Schach [20]

Slope intercept form is y=mx+b

Y= y intercept
M = slope
B = x intercept

-2x-11y= 5 get the y by itself
-11y = 2x + 5 divide by -11

y = -2/11x + 5/11

slope is -2/11

7 0

4 years ago