A person 100 meters from the base of a tree, observes that the angle between the ground and the top of the tree is 18 degrees. Estimate the height h of the tree to the nearest tenth of a meter.
for this problem, we have to draw it out. we know the base of the triangle is 100m. the angle between the ground and the top of the tree is 18 degrees. the height goes the tree is h. we would use the tan (18)= opp/hyp. so the set up would be tan (18)= h/100. then set up the problem to equal h (cross multiply and put 100 to the other side.) 100 tan (18) = h and by plugging it into your calculator you should get 32.5m
Circle the numbers that are prime. 2 5 8 13 17 18 21 93 117
first, what is a prime number? A prime number is a number that is only divisible by 1 (and itself). by looking at these numbers, 2,5,13, and 17 are all prime numbers because nothing other than 1 and itself is divisible
1/5X + 1/3X = 1
In order to approach this problem, we must analyze it. First, we see two different fractions, with two different denominators. In order to continue, we either have to make the same denominator or, get rid of the fraction altogether. (Generally, we would continue with this problem the way the teacher showed and taught you, but personally, I believe the easiest way to continue is by getting rid of the fraction all together with.) In order to get rid of the fraction, pick the LCD for 5 and 3. that would be 15. now, multiply 15 by each value (1/5X) (15) + (1/3X) (15) = (1) (15) from here you'd get 3X + 5X = 15. add 3X + 5X to get 8X . now divide 15/8 to get 1.875 equalling X