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mixas84 [53]
3 years ago
6

*Will give brainliest* A ladder, leaning against a wall, makes an angle of 20° with the ground. The foot of the ladder is 3 m fr

om the wall. How long is the ladder?
Mathematics
2 answers:
ollegr [7]3 years ago
6 0
Answer (not 100% sure): 3.2m

Explanation: I drew a diagram and dived all the measurements in meters by 10 to get cm which showed that the ladder (in the diagrams scale) was 32cm long but as i had divided i needed to time it by ten to get the answer. after multiplying 32cm by 10 i got 3.2 meters.

Hope this helps!
Fantom [35]3 years ago
3 0

Answer:

The answer is 3.64m

This is because if you draw a diagram, and label all the sides of the triangle (opp, hyp, adj), the adjacent angle is 3m. You can now use the sine rule to find the hypotenuse (length of ladder) by doing: cos 30= 3/h. You divide cos 30 by 3 and you get the answer of 3.64m rounding to 2 decimal places.

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To find the equation of a line, we need the slope of the line and a point on the line. Since we are requested to find the equati
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Answer:

m = \frac{1}{12}

Step-by-step explanation:

Given

(x,y) = (36,6)

f(x) = \sqrt x ----- the equation of the curve

Required

The slope of f(x)

The slope (m) is calculated using:

m = \lim_{h \to 0} \frac{f(a + h) - f(a)}{h}

(x,y) = (36,6) implies that:

a = 36; f(a) = 6

So, we have:

m = \lim_{h \to 0} \frac{f(a + h) - f(a)}{h}

m = \lim_{h \to 0} \frac{f(36 + h) - 6}{h}

If f(x) = \sqrt x; then:

f(36 + h) = \sqrt{36 + h}

So, we have:

m = \lim_{h \to 0} \frac{\sqrt{36 + h} - 6}{h}

Multiply by: \sqrt{36 + h} + 6

m = \lim_{h \to 0} \frac{(\sqrt{36 + h} - 6)(\sqrt{36 + h} + 6)}{h(\sqrt{36 + h} + 6)}

Expand the numerator

m = \lim_{h \to 0} \frac{36 + h - 36}{h(\sqrt{36 + h} + 6)}

Collect like terms

m = \lim_{h \to 0} \frac{36 - 36+ h }{h(\sqrt{36 + h} + 6)}

m = \lim_{h \to 0} \frac{h }{h(\sqrt{36 + h} + 6)}

Cancel out h

m = \lim_{h \to 0} \frac{1}{\sqrt{36 + h} + 6}

h \to 0 implies that we substitute 0 for h;

So, we have:

m = \frac{1}{\sqrt{36 + 0} + 6}

m = \frac{1}{\sqrt{36} + 6}

m = \frac{1}{6 + 6}

m = \frac{1}{12}

<em>Hence, the slope is 1/12</em>

7 0
3 years ago
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luda_lava [24]
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3 years ago
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