Sketch a right triangle corresponding to the trigonometric function of the acute angle ?. Use the
Pythagorean Theorem to determine the third side and then find the other five trigonometric
functions of ?.
tan ? =78
Solution
third side= sqrt(113)
sin?= 7/sqrt(113)
cos?= 8/sqrt(113)
csc?=sqrt(113)/7
sec?= sqrt(113)/8
cot?= 8/7.
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Sketch and label two different trapezoids, each with area 56 cm^2.pdf
1. Sketch and label two different trapezoids, each with area 56 cm^2
Solution
Take note that a trapezoid is a quadrilateral and at least two of its sides are parallel.
Its formula of area is:
`A=1/2*(b_1+b_2)*h`
where b1 is base 1, b2 is base 2 and h is the height.
Base1 and base2 are the parallel sides. And the height is the line perpendicular to the two bases.
The possible trapezoids that we can have when the area is 56 cm^2 are:
(1) b1 = 6 cm, b2 = 10 cm, h = 7 cm (See Figure 1)
`A=1/2*(6+10)*7=56`
(2) b1 = 9 cm, b2 = 5 cm, h = 8 cm (See Figure 2.)
`A=1/2*(9+5)*8=56`