All categories

2 years ago

A 4 meter long ladder leans against a 90 degree wall at a 68 degree angle.

Mathematics

1 answer:

Alenkinab [10]2 years ago

3 0

Answer:

Step-by-step explanation:

We use trig to answer these questions:

sin x = opposite side of a triangle / hypotenuse

cos x = adjacent side / hypotenuse

Construct a right triangle with hypotenuse 4 m and lower angle 68 degrees.

The height of the top of the ladder is then defined by:

sin 68 degrees = height / 4 m, which yields (4 m)(sin 68) = height =

3.71 m

and the distance of the bottom of the ladder from the wall as follows:

cos 68 degrees = horizontal distance / hypotenuse =

1.50 m

You might be interested in

A quadratic equation is shown below:

sweet [91]

Answer:

Part A:

( 1.8333, -0.08333)

Part B:

x = 2 or x = 5/3

Step-by-step explanation:

The quadratic equation

$3x^{2}-11x+10=0$ has been given.

Part A:

We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.

$\frac{d}{dx}(3x^{2}-11x+10)=6x-11$

Setting the derivative to 0;

6x - 11 = 0

6x = 11

x = 11/6

The corresponding y value is determined by substituting x = 11/6 into the original equation;

y = 3(11/6)^2 - 11(11/6) + 10

y = -0.08333

The vertex is thus located at the point;

( 1.8333, -0.08333)

Find the attached

Part B:

We can use the quadratic formula to solve for x as follows;

The quadratic formula is given as,

$x=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}$

From the quadratic equation given;

a = 3, b = -11, c = 10

We substitute these values into the above formula and simplify to determine the value of x;

$x=\frac{11+/-\sqrt{11^{2}-4(3)(10) } }{2(3)}=\frac{11+/-\sqrt{1} }{6}\\\\x=\frac{11+/-1}{6}\\\\x=\frac{11+1}{6}=2\\\\x=\frac{11-1}{6}=\frac{5}{3}$

6 0

3 years ago

The product of (-5xy2) and (-4x2y)

solong [7]

Combine like variables:

(20x^2)(2y^3)

Combine coefficients:

40(x^2)(y^3)

3 0

3 years ago

Helppp!!!! please!!!

almond37 [142]

Answer:

...........................

7 0

3 years ago

Fran started practicing her clarinet at 3:30 pm and finished at 5:45 pm. how long did she practice?

yulyashka [42]

Answer:

2 hours and 15 minutes

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

At a grocery store salted peanuts in the Shell cost $0.30 per ounce is $5 enough money to buy one lb of peanuts if it is what am

Natasha_Volkova [10]

Yes it will be and there will be 50 cents over

4 0

3 years ago

Read 2 more answers