Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the opposite side (x) is the height of the top of the ladder above the ground.

Replacing with the values given:

Sin 45 = x/ 13

Solving for x

sin45 (13) =x

x= 9.19 ft

Feel free to ask for more if needed or if you did not understand something.

7 0

3 years ago

What is the mode of the following set of data? 34, 23, 12, 11, 11, 25, 25, 26, 25, 27, 30

Olin [163]

1 - B

Mode - The mode the number that appears most often in a data set. In this question, 25 was repeated 3 times and no other ones where repeated 3 times. Thats why 25 is the mode.

2 - D

Median - The middle number of a data set that is arranged from least to greatest.

3 - True

There is no mode because all of the numbers only appear once.

4 - A

5 - C

4 0

3 years ago

Value of 3x^2 +4y^2 if x=2, y=1, and z= -3

Dennis_Churaev [7]

$3x^2+4y^2\\\\\text{Put the values of x=2, y=1 and z=-3 to the expression:}\\\\3(2^2)+4(1^2)=3(4)+4(1)=12+4=16$

4 0

3 years ago