Question

Given the following triangle, solve for angle A.

Answer 1

Do you know how to get the tangent of an angle of a right triangle. That is, do you know the ratio of side lengths that give the tangent of the angle?

Answer 2

no :/

Answer 3

Look at the attached file and study up on how to get the tangent of an angle of a right triangle. Then, apply the idea to your triangle.

Answer 4

38.66°

45.13°

50.55°

53.99°

Answer 5

We need to get the equation first.

The tangent of angle is the ratio of the length of the leg opposite angle A to the length of the leg adjacent to angle A. The legs of a right triangle are the two sides that form the right angle.

Answer 6

tan(A) = 4/5
From that equation, it is possible to solve for angle A.

Answer 7

how would you solve that ?

Answer 8

We could use the Google calculator.
If you have your own calculator, you can use it.

Answer 9

When you get to the Google calculator, click on "degrees." Then, click on INV, TAN, and enter 4/5 in the parentheses. Punch the equal key and see what angle comes up.

Answer 10

i get 0.01

Answer 11

That sounds low to me.

Answer 12

i know in my calcultor i put tan (4/5)

Answer 13

0.67

Answer 14

You don't want that. That gives the tangent of an angle of 4/5.
We are looking for the angle that has a value of 4/5.

In my calculator, I entered (4/5) = INV TAN = and the angle in degrees popped up. It is one of your options.

Try that and see what you get.

Answer 15

And, you got?

Answer 16

We're a second away from wrapping up this problem.

Answer 17

ughhh i keep getting the same answer :/

Answer 18

38.66 :)

Answer 19

Let's try another approach - testing options.

Start with the first answer option: 38.66°

Because you know how to enter angles, the on your calculator, enter TAN and then 38.66°
and then maybe equals. See what you get. If you do not set your calculator on degrees, you will not get the right result.

Answer 20

Yes, tan(38.66)= 4/5 approx

Answer 21

Given the following triangle, solve for side YZ. ?

Answer 22

Sorry but I can't help you with that. :/