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

2 years ago

Solve the equation 3/4x+3-2x = -1/4+1/2x+5

elena55 [62]

Hi there! The answer is x = -1

Let's solve this equation step by step!
$\frac{3}{4} x + 3 - 2x = - \frac{1}{4} + \frac{1}{2} x + 5$

First collect terms.
$- 1 \frac{1}{4} x + 3 = \frac{1}{2} x + 4 \frac{3}{4}$

Subtract (1/2)x from both sides.
$- 1\frac{3}{4} x + 3 = 4 \frac{3}{4}$

Subtract 3 from both sides.
$- 1\frac{3}{4} x = 1 \frac{3}{4}$

And finally divide by -1 3/4
$x = \frac{7}{4} \div - \frac{7}{4} = \frac{7}{4} \times - \frac{4}{7} = - \frac{28}{28} = - 1$

8 0

3 years ago

Read 2 more answers

Felicity bought 3 shirts for $15 each and a pair of shoes for $25. Felicity used this equation to find x, the amount of money sh

torisob [31]

Answer:

x= 70

Step-by-step explanation:

In this question you have to use BODMAS. This indicates that you have to do the equation in the brackets first. Therefore, 3x15= 45. Then you add 25, which will give you 70.

8 0

2 years ago

Read 2 more answers