Right Triangle Trig Word Problems + Pythagorean theorem + Special Right Triangles

Question 1

What is the length of side x?

Accepted Answer

17

Question 2

Find the value of y

Accepted Answer

10√2

Question 3

Find the value of x

Accepted Answer

8√3

Question 4

The length of the hypotenuse of a 30-60-90 triangle is 20, how long is the short leg?

Accepted Answer

10

Question 5

If the angle of elevation is from the ground, how tall is the building?

Accepted Answer

173 ft.

Question 6

What is the length of the missing side?

Accepted Answer

17

Question 7

What is the length of side h?

Accepted Answer

8.6

Question 8

What is the length of the missing side?

Accepted Answer

6

Question 9

What is the length of the missing side?

Accepted Answer

7.389

Question 10

How far is it from home plate to second base?

Accepted Answer

90√2 ft

Question 11

what is the set up to solve for x?

Accepted Answer

its a 45, 45, 90 so I know x = 60, tan45 = 60/x

Question 12

Find the value of x

Accepted Answer

10

Question 13

What is the length of the diagonal line?

Accepted Answer

50

Question 14

If the angle of elevation is from someone's eye, 5 feet above ground how tall is the building?

Accepted Answer

178 ft.

Question 15

Find the value of y

Accepted Answer

16

Question 16

What is the shortest way from the plane to the boat?

Accepted Answer

zip line from plane to boat, taking the hypotenuse of the ∆

Question 17

Standing 50 ft from a flag pole, the angle of elevation from your eyes(5ft above ground) is 47°

Accepted Answer

The flag pole is 59 feet tal

Question 18

In a 30-60-90 triangle, the hypotenuse is ______ the length of the short leg.

Accepted Answer

Twice

Question 19

What is the distance between Lenor an Juan?

Accepted Answer

33.54

Question 20

How tall is the tree?

Accepted Answer

4.22

Questions 20