The top of the house where dad is standing is at A. The point where his son is standing is B. The bottom of the house is at C. AC is the height of house, BC is the distance between the house and son.

Height of the house (AC) = 21 ft

Distance between the house and son (BC) = 12 ft

Let the angle of depression for the dad be 'x'.

From the figure, it is clear that,

Angle of depression of the dad will be same as angle of elevation of Artie.

For triangle ABC,

$\tan x=\frac{AC}{BC}\\\\\tan x=\frac{21\ ft}{12\ ft}\\\\\tan x=1.75\\\\x=\tan^{-1}(1.75)\\\\x=60.26$

Therefore, the angle of depression from the top of the house to the spot where Artie is standing is 60.26°.

Therefore, the correct option is option (B).

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3 years ago

The decimal equivalent of 5/3 is a repeating decimal​

The decimal equivalent of 5/3 is a repeating decimal