A 37-ft ladder leans against a building so that the angle between the ground and the ladder is 73°. How high does the ladder reach up the side of the building?

35.4 ft

Step-by-step explanation:

To solve this problem, we need to represent the statement in the question in a diagram.

Please see attached photo.

In the attached photo, x is the height of the building.

Thus, we can calculate the value of x as shown below:

Angle θ = 73°

Opposite = x

Hypothenus = 37 ft

Using the Sine ratio, the value of x can be obtained as follow:

Sine θ = Opposite /Hypothenus

Sine 73 = x /37

Cross multiply

x = 37 × Sine 73

x = 35.4 ft

Therefore, the ladder reached up to 35.4 ft of building.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!