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=](https://us-static.z-dn.net/files/d0b/e12005f617dd3bf9800744c4cb6b6936.png)
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°.