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expeople1 [14]
3 years ago
9

I wanted to know if someone could help me figure out where sine lies in the attachment I have. Could I also have an explanation?

:)

Mathematics
1 answer:
valina [46]3 years ago
8 0
The sine function goes from -1, then to 0, then to 1, and back again. The max an mins are -1 and 1, sine function has a zero value each time it hits 180 or a multiple of 180: 0, 180, 360, etc

That is easy to see if you use a rectangle triangle, its definition is: sine a is equal to the division of the opossite cathetus over the hypothenuse, thus, for that division to be zero, the opposite cathetus has to be zero, that is when the angle is 0, or 180, 360, etc
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Answer:

shown in explanation

Step-by-step explanation:

a) ∆EPB similar to ∆ERG

b) angle BEP = angle GER (common angle shared)

angle EPB = angle ERG (corresponding angles, PB//RG, parallelogram)

therefore through Angle-Angle similarity test, ∆EPB is similar to ∆ERG

or explanation can also be shortened to

∆EPB is similar to ∆ERG (AA, similarity)

c) since proven they are similar ∆, then we can proceed to use property of ratio of corresponding sides being equal

\frac{pb}{rg}  =  \frac{ep}{er}

RG = 200+300=500m

\frac{200}{500}  =  \frac{ep}{ep + 350}

cross multiply (from what I've learnt)

2ep+700=5ep

ep= 700/3 = 233 ⅓m (answer for length EP)

Do the same for length BE(using ratio of corresponding sides)

\frac{be}{ge}  =  \frac{pb}{rg}

\frac{be}{be + 400}  =  \frac{200}{500}

cross multiply again to get:

5BE = 2BE + 800

BE = 800/3 = 266 ⅔ m (answer for length BE)

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