There is a tall tree in iva’s backyard. she thinks it might hit her house if it fell over. she measures that the base of the tree is 50 feet from her house. when iva stands at the edge of her house, the angle of elevation from her feet to the top of the tree is 50°. iva’s house is safe if the tree’s height is less than the tree’s distance from the house. complete the statement based on this information.
the height of the tree feet, so iva’s house is
answer choices:
1. greater than, less than, equal to
2. safe, not safe

The height of the tree is Greater than 50 feet, so Iva’s house is not safe

Step-by-step explanation:

step 1

Find the height of the tree

Let

h > the height of the tree

we know that

The tangent of angle of 50 degrees is equal to divide the opposite side to the angle of 50 degrees (height of the tree) by the adjacent side to the angle of 50 degrees (tree’s distance from the house)

so

tan(50°)=h/50

h=(50)tan(50°)=59.6 ft

therefore

The height of the tree is Greater than 50 feet, so Iva’s house is not safe

no association

step-by-step explanation:

if you have eyes and you can use them efficiently you can see that it just looks like random dots like do a line of best fit and like they're so spread out it's such a weak association you might as well consider it nonexistent

6 and 24

step-by-step explanation:

6 x 4 = 24