Question

ANSWER CHECK GEOMETRY

The picture shows a water slide. What is the height, AB, of the water slide?

2 feet

4 feet

6.9 feet

2.3 feet

Answer 1

is it 6.9?

Answer 2

No, it's not.

A 45-45-90 right triangle is also isosceles. Does that help?

Answer 3

so how do i solve this correctly? i'm kinda lost on the soh-cah-toa thing

Answer 4

You don't need to use trigonometry ( the soh-cah-toa thing) for this question.



What is the measure of the angle at vertex A?

Answer 5

90 degrees

Answer 6

oh no wait 45 degrees

Answer 7

Yes. The converse of the Isosceles Triangle Theorem states that if two angles of a triangle are congruent, then the sides opposite the angles are congruent.

Answer 8

okay so i use A^2+B^2=C^2?

Answer 9

That's the Pythagorean Theorem - not useful here because we don't know how long the slide is.

Let's try using trig.

What do the letters toa stand for?

Answer 10

Tan = OPP/ADJ

Answer 11

Good.



The adjacent side is the one touching the given angle, 45 degrees in this case.

The opposite side is the side that is NOT the hypotenuse (longest side) and does not touch the given angle.

Based on those def'ns do you agree?

Answer 12

but the hyp. is the longest side... its the one farthest away from the 90 degree angle... or so i thought

Answer 13

That's right. Instead of saying "farthest", use opposite.

If we just consider the 45 degree angle, do you agree that the adj on the diagram touches the angle and the op is the NON-HYPOTENUSE side that does NOT touch the angle.

I'm not shouting w/ the CAPS.

Answer 14

anyway your saying the answer is 4? correct? because 45 degrees is equal to 45 degrees, therefore its 4 because they both equal 4.

Answer 15

Yes. That's the non-trig solution.

Answer 16

okay thank you :)

Answer 17

Sure.