If you sketch the man and the building on paper, you'll have a
right triangle. The right angle is the point where the wall of
the building meets the ground. The height of the building
is one leg of the triangle, the line on the ground from the
building to the man's feet is the other leg, and the line
from his feet to the top of the building is the hypotenuse.
We need to find the angle at his feet, between the hypotenuse
and the leg of the triangle.
Well, the side opposite the angle is the height of the building -- 350ft,
and the side adjacent to the angle is the distance from him to the
building -- 1,000 ft.
The tangent of the angle is (opposite) / (adjacent)
= (350 ft) / (1,000 ft) = 0.350 .
To find the angle, use a book, a slide rule, a Curta, or a calculator
to find the angle whose tangent is 0.350 .
tan⁻¹(0.350) = 19.29° . (rounded)
We can use two different ways to solve this equation:
Because the board is 25 off, we can multiply the price and subtract the result:
30 - 0.25(30) = 30 - 7.5 = $22.50
We can also solve by multiplying the total price by 0.75
(1 - 0.25)(30) = 0.75(30) = $22.50
The sales price is $22.50
First, let's declare a variable
x = # of students
Now, let's create an equation to model the problem.
x * 0.273 = 125
Divide both sides by 0.273
x = 457.8 = 458 students.
Note, I rounded to the nearest whole number.
The correct answer would be A. Hope this helps
