Answer: 9.19 ft
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Sin α = opposite side / hypotenuse
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 distance between the top of the ladder and 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.
It is 1/3, add up the total number of kids, which is 30, the number of kids 6-8 is 10. 10/30 is equivalent to 1/3
Answer:
3/10
Step-by-step explanation:
7+3= 10 so 7+3=10/10 which is one mile

Let the capacity of bus be x students
And van be y students, now ;
From the given statements we get two equations ~


multiply the equation (2) with 2 [ it won't change the values ]


Now, deduct equation (1) from equation (3)




Therefore each bus can carry (x) = 45 students
Now, plug the value of x in equation (1) to find y ~







Hence, each van can carry (y) = 17 students in total.
The answer is D. 63. You have to set up a proportion as shwon in the image.