For this case, we can model the problem as a rectangle triangle.
We know the height of the triangle.
We know the angle between the base of the triangle and the hypotenuse.
We want to find the base of the triangle.
For this, we use the following trigonometric relationship:
tan (70) = 39 / x
Clearing x we have:
x = 39 / tan (70)
x = 14.2 feet
Answer:
The distance between the base of the building and the base of the ladder is:
x = 14.2 feet
Answer:
Students purchased 1296 tickets and teachers purchased 482 tickets.
Step-by-step explanation:
We are given the following in the question:
Let x be the number of tickets purchased by students and y be the number of tickets purchased by teachers.
Total tickets purchased = 1778
Thus, we can write the equation:

There are 150 students less than three times the number of teacher's tickets.
Thus, we can write the equation:

Solving the two equations, we get,

Thus, students purchased 1296 tickets and teachers purchased 482 tickets.
Answer:
32y² + 192y
Step-by-step explanation:
First, we need to distribute 8y. This gets us 32y²+192y. I do not believe you can simplify that. I hope this helps!