A 34-m tall building casts a shadow the top is 35 m find length of shadow

Length of the shadow is 11.8 meters

Step-by-step explanation:

AB is a 34 meter tall building casting a shadow BC.

Let the measure of BC = x meters

It is given that the distance between A and C is 36 meters.

To find the length of BC we will apply Pythagoras theorem in the triangle.

AB² + BC² = AC²

(34)² + x² = (36)²

1156 + x² = 1296

x² = 1296 - 1156

x² = 140

x = √140

x = 11.832 meters

 ≈ 11.8 meters

Therefore, length of the shadow will be 11.8 meters.

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answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.