An image on a slide is similar to it's projected image. A slide is 35 mm wide ande 21 mm high. It's projected image is 85 cm wide. To the nearest centimeter, how high is the image?
51 cm
wide will the projected image be if the slide is 2.8 cm wide?
To find out the height of the projected image, we need to determine the scale factor between the slide and the projected image.
First, let's convert the width of the slide from millimeters to centimeters:
35 mm = 3.5 cm
Next, we can find the scale factor by dividing the width of the projected image by the width of the slide:
Scale factor = Width of projected image / Width of slide
Scale factor = 85 cm / 3.5 cm
Now, we can use the scale factor to find the height of the projected image:
Height of projected image = Scale factor * Height of slide
Height of projected image = (85 cm / 3.5 cm) * 21 mm
Let's substitute the values and calculate the height:
Height of projected image = (85 / 3.5) * 21
Height of projected image = 2,415 / 3.5
Height of projected image ≈ 691.43 cm
To the nearest centimeter, the height of the projected image is 691 cm.
35/21 = 85/x
What I did was put the width of the images on the numerator of the fraction.
Multiply both sides by 21x to get rid of the denominators. We will have:
35x = 1785
Can you solve it from there?