According to the Pythagorean theorem, the square of the hypotenuse (the longest side) of a right-angled triangle equals to the sum of the squares of the other two sides. In this case, the ladder is the hypotenuse, which equals to the distance between the bottom of the ladder and the tree + the distance we want to find (x):
5² + x² = 13²
25 + x² = 169
x² = 144
x = √144 = 12.
The distance between the ground and the top of the ladder is 12 ft.

4 0

3 years ago

How much is 1/2 of a century

Rudik [331]

Half a century is 50 years. a century is 100 years

8 0

3 years ago

Read 2 more answers

Rita gets paid $16 per hour for the first 8 hours she works each day. She earns 1 1 2 times her hourly pay rate for time she wor

omeli [17]

<h3>The total money earned by Rita on Monday = $158</h3>

Step-by-step explanation:

The rate by which Rita is paid first 8 hours = $16

The next per hour rate after 8 hours = $1\frac{1}{2} = 1.5$ times the usual rate.

Now, 1.5 times $16 = 1.5 x 1 6 = $24

So, for each hour worked after 8th hour, Rita is paid $24 per hour.

Now, the intervals she has worked are:

(a) from 8:15 to 12: 45 pm

So, the number of hours worked = 45 minutes + 45 minutes + 3 hours

= 4 hours 30 minutes .... (1) (as 60 minutes = 1 hour)

(b) break of 45 minutes after 12: 45 = 12: 45 + 45 minutes

= 12 hour 90 minutes = 1 : 30 P M

So, she started working at 1: 30 and worked till 6: 15

So, the number of hours worked = 30 minutes + 15 minutes +4 hours

= 4 hours 45 minutes .... (2)

So, by adding (1) and (2) the total hours worked by Rita

= 4 hours 30 minutes + 4 hours 45 minutes

= 8 hours 75 minutes = 9 hours 15 minutes

9 hours 15 minutes = ( 8 + 1 .25 ) ( 15 minutes = 0.25 of an hour)

So, the payment is ( 8 x (16) + 1.25 (24) )

= 128 + 30 = 158

Hence, the total money earned by Rita = $158

6 0

3 years ago