Help with these questions, it’s Trigonometry Right Triangles

(5). (6) H = 25 units

Step-by-step explanation:

Given that,

Height of triangle, H = 15

Base, B = 20

(5)

We need to find the value of tanA.

(6)

For a right angled triangle, Pythagoras theorem will be applicable as follows :

Hence, this is the required solution.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet