Afireman is standing 30 m directly west of a burning building. his ladder reaches 50m up the side of the building. what is the angle of elevation to the closest degree of his ladder?

As per the statement:

You can see the diagram as shown below.

Distance of fireman stands away from the building = 30 m

Length of the ladder = 50 m

Using Cosine ratio:

....[1]

From the diagram:

Adjacent side = 30 m

Hypotenuse side = 50 m

Substitute these values in [1] to solve for angle of elevation()

or

Simplify:

Therefore, the angle of elevation to the closest degree of the ladder is 51.13 degree

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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step-by-step explanation: