A slide 4.4 m long makes an angle of 33 with the ground. How high is the top of the slide above the ground

1 answer:

5 0

Using the information given we will only need the Cosine and Sine equations. i made a diagram (cant take a picture, in my study hall) labeled the sides of the triangle A, B, and C. with C as the hypotenuse, A as the Opposite, and B as the adjacent (will not be needed as A is the height). i will be rounding the th nearest thousandth.
Using Sine (SIN=Opposite/Hypotenuse), we can find A.

SIN(33)=A/4.4

SIN(33)≈.545

.545≈A/4.4

now multiply each side by 4.4 to get rid of the division

(.545*4.4)≈((A/4.4)4.4)

2.396≈A

so the answer would be that the slide is about 2.396 M high

You might be interested in

The mass of a carbon atom is 1.994 × 10-23 grams. The mass of a hydrogen atom is 1.67 × 10-24 grams. What is the difference of t

Ilya [14]

1.994 x 10^-23
-0.167 x 10^-23
1.827 x 10^-23
Correct answer is the second one.

8 0

2 years ago

Find square root of 144 by factorisation method

Nady [450]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

Find square root of 144 by factorisation method.

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

We can find the square root of 144 using the factorisation method. In this method, you need to factorise 144 first. Then, you'll get your answer in the form of prime factors. In this case, it's ⇨ 2 × 2 × 2 × 2 × 3 × 3.

__________________

To find the square root using factorisation, we need to group the same number in pairs. That is, 2 × 2 × 2 × 2 × 3 × 3 by grouping same numbers in pairs will become ⇨ (2, 2), (2, 2), (3, 3).

__________________

Now, you should take only 1 of the number from these groups. So, (2, 2), (2, 2), (3, 3) will change to ⇨ 2 × 2 × 3.

__________________

Finally, just multiply this set of numbers to find the square root of 144. 2 × 2 × 3 = 4 × 3 = $\large\boxed{\underline{\bf \: 12}}$ ⇨ square root of 144.