What is the volume of the triangular prism with a bottom side of 8, the height of the triangle is 7, and the height of the prism
1 answer:
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<h3>Key points :-</h3>
✪ Both triangles will be proven similar by AA theorem i.e. Angle-Angle theorem.
✪ The symbol for similarity is ~.
✪ The symbol for congruency is ≅.
- <em>D</em><em>e</em><em>t</em><em>a</em><em>i</em><em>l</em><em>e</em><em>d</em><em> </em><em>s</em><em>o</em><em>l</em><em>u</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>i</em><em>s</em><em> </em><em>a</em><em>t</em><em>t</em><em>a</em><em>c</em><em>h</em><em>e</em><em>d</em><em>!</em><em>!</em>
The ratios of sin x° and cos y° are 15/8.
We have given that,
Use the image below to answer the following question.
We have to determine to find the value of sin x° and cos y°.
By applying Pythagoras theorem in the triangle given in the picture,
<h3>What is the Pythagoras theorem?</h3>(Hypotenuse)² = (leg 1)² + (leg 2)²
PO² = (15)² + 8²
PO² = 225 + 64
PO = √289
PO = 17
By applying the sine rule in the given triangle,
sin(x°) = Opposie side/hypotenous
= 15/17
cos(y°) = Adjucent side/hypotenous
= 8/17
The relation between the ratio of sin(x) and cos(x) will be,
Therefore the ratios of sin x° and cos y° are 15/8.
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