3 years ago

A ladder leans against a building. The angle of elevation of the ladder is 70°. The top of the ladder is 25 ft from the ground.

1 answer:

7 0

The distance from the base of the ladder to the way will be given by:
tan θ= opposite/adjacent
θ=70
adjacent=x
opposite=25 ft
thus
tan 70=25/x
thus
x=25/tan 70
hence:
x=9.1 ft

Answer: 9.1 ft

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An inequality is shown: −np − 4 ≤ 2(c − 3) Which of the following solves for n?

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Answer:

$\huge\boxed{n\leq\dfrac{2-2c}{p}\ \text{for}\ p0}$

Step-by-step explanation:

$-np-4\leq2(c-3)\qquad\text{use the distributive property}\\\\-np-4\leq2c-6\qquad\text{add 4 to both sides}\\\\-np\leq2c-2\qquad\text{change the signs}\\\\np\geq2-2c\qquad\text{divide both sides by}\ p\neq0\\\\\text{If}\ p0 ,\ \text{then}\\\boxed{n\geq\dfrac{2-2c}{p}}$