What is the length of the ladder? It's 6 ft. from the house at the bottom and touches the wall 14 ft. up at the top. Simplify yo
2 answers:
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Answer:
10
Step-by-step explanation:
<u>Given equation</u>:
Isolate y by dividing both sides by 2:
Differentiate with respect to x:
Finally, substitute x = 2 into the differentiated equation:
Learn more about differentiation here:
<span>2 sec^2 x + tan^2 x - 3 = 0
2(1 + tan^2 x) + tan^2 x - 3 = 0 [sec^2 x = 1 + tan^2 x]
2 + 2tan^2 x + tan^2 x - 3 = 0
3tan^2 x = 1
tan^2 x = 1/3
</span><span />
2(1 + tan^2 x) + tan^2 x - 3 = 0 [sec^2 x = 1 + tan^2 x]
2 + 2tan^2 x + tan^2 x - 3 = 0
3tan^2 x = 1
tan^2 x = 1/3
Answer:
Step-by-step explanation:
by triple pythagoras we get the hypotenuse is 10,
by definition of sin, cos, and tan we get the answer above with simplified .