The ladders shown below are standing against a wall at the same angle.How high up the wall does the longer ladder go?(All meausurements are in feet.)
The long side of the big ladder ie 30 and the other side is X. Smaller ladder is 24 and 10.
A.11.25ft
B.12.5ft
C.14 ft
D.14ft
Is the answer B?
B
C
A
B
B
100% (For Lesson 3 - Similar Figures)
Thanks @2 woody bois!!!!
24/10 = 30/x
24 x = 300
x = 12.5
I am assuming that x and 10 are along the wall and not the ground.
thank you
Damon please help with question above. Thanks
To find out how high up the wall the longer ladder goes, we can use the concept of similar triangles. Similar triangles have the same shape but different sizes.
In this case, we can compare the ratios of the corresponding sides of the two triangles formed by the ladders and the wall.
Let's label the longer ladder's height on the wall as h. The shorter ladder's height on the wall is 10 ft.
Using the ratio of corresponding sides, we can set up the following equation:
h / 30 = 10 / 24
To solve for h, we cross-multiply and get:
h = (10 * 30) / 24
h = 300 / 24
h = 12.5 ft
Therefore, the height up the wall where the longer ladder reaches is 12.5 ft.
Based on your multiple-choice options, the correct answer is B.