Khan Academy: Right triangles and trigonometry 2

without rounding off to the nearest hundredth it's 2.0711

Step-by-step explanation:

first rearrange the triangle lyk above.

Then use trigonometry SOHCAHTOA

TOA applies for this

tan25=x/5

x=5tan25

x=2.0711

hope that helps

a framing bias

step-by-step explanation:

rodrigo is subject to a framing bias i believe.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places