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algol [13]
3 years ago
7

children climb 8 ft to get to the top of a slide. the end of the slide is 1 ft above the ground and the slide rises at a 45 degr

ee angle. if the slide makes a straight line from the top to the bottom, how far does the child travel down the slide?
Mathematics
1 answer:
amm18123 years ago
4 0
Since the end of the slide is 1 foot above the ground, the vertical rise of the 
<span>slide is 8 - 1 = 7 feet, and since the slide rises at a 45 degree angle it will </span>
<span>have a horizontal run of 7 feet as well. Thus by Pythagoras the length of the </span>
<span>slide is sqrt(7^2 + 7^2) = sqrt(98) = 9.90 feet, which is about 10 feet.</span>
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Given: <br> PQ<br> ⊥<br> QR<br> , PR=20,<br> SR=11, QS=5<br> Find: The value of PS.
dlinn [17]

Answer:

The value of the side PS is 26 approx.

Step-by-step explanation:

In this question we have two right triangles. Triangle PQR and Triangle PQS.

Where S is some point on the line segment QR.

Given:

PR = 20

SR = 11

QS = 5

We know that QR = QS + SR

QR = 11 + 5

QR = 16

Now triangle PQR has one unknown side PQ which in its base.

Finding PQ:

Using Pythagoras theorem for the right angled triangle PQR.

PR² = PQ² + QR²

PQ = √(PR² - QR²)

PQ = √(20²+16²)

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Now for right angled triangle PQS, PS is unknown which is actually the hypotenuse of the right angled triangle.

Finding PS:

Using Pythagoras theorem, we have:

PS² = PQ² + QS²

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7 0
3 years ago
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olganol [36]

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The computation of the number of hours does sidney skate in all is as follows:

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Hence, the number of hours does sidney skate in all is 9.8 hours

3 0
3 years ago
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