Question 1 2.5 pts
A firefighter sees a woman trapped in a building 67 feet up from the bottom
floor. If the firetruck is parked 48 feet away from the bottom of the building,
at what angle of elevation, to the nearest degree, should the firefighter
extend the ladder to reach the woman?
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54°

Step-by-step explanation:

We are required to find the angle of elevation. We were given the distance between location of the woman and the floor of the building as well as the distance between the floor of the building to the fire truck.

the distance between location of the woman and the floor of the building = 67ft

the distance between the floor of the building to the fire truck = 47ft

Find attached the diagram obtained from the information.

We would apply tangent ratio, since we know the opposite(67ft) and the adjacent (48ft)

Tanθ = opposite/adjacent

Tanθ = 67/48

Tanθ = 1.3958

θ = arctan(1.3958)

θ = 54.38°

θ = 54° (nearest degree)

The angle of elevation, to the nearest degree, that the firefighter should

extend the ladder to reach the woman = 54°

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.

given the equation is 8+9z=-6, the first step would be to subtract the 8 from both sides:

8+9z-8=-6-8

since 8 minus 8 = 0, this would cancel out the 8. and since -6 minus 8 equals -14, the equation would look like this

9z = -14