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A 12 foot ladder is placed 4 feet away from a house as shown. What is the value of x, rounded to the nearest degree ?

A 12 foot ladder is placed 4 feet away from a house as shown What is the value of x rounded to the nearest degree class=

Respuesta :

This is a sohcahtoa question, in this case itd be cosine. The "cah" part stands for cos(x)=adjacent/hypotenuse. Using numbers it would be cos(x)=4/12. To find x youd have to take the cos^-1 of both sides so x=cos^-1(4/12)

Answer: The value of x is 70.52°.

Step-by-step explanation:

Since we have given that

Length of ladder = 12 foot

Length of base = 4 feet

We need to find the value of 'x'.

We will use "Cosine of triangle":

[tex]\cos x=\dfrac{4}{12}\\\\x=\cos^{-1}(\dfrac{1}{3})\\\\x=70.52^\circ[/tex]

Hence, the value of x is 70.52°.