x/55 = tan49°
x = 55tan49°
get out your calculator
What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.
x = 55tan49°
get out your calculator
Triangle DEF where angle E is a right angle. DE measures x. DF measures 55. Angle F measures 49 degrees.
What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.
First, we need to identify which sides of the triangle are adjacent and hypotenuse to angle D. In this case, side DE is the adjacent side, and side EF is the hypotenuse.
The cosine function is defined as:
cos(angle) = adjacent side / hypotenuse
Applying this formula to triangle DEF:
cos(D) = DE / EF
Now we can substitute the known values into the equation:
cos(49°) = 55 / EF
To isolate the value of EF, we need to rearrange the equation:
EF = 55 / cos(49°)
Using a calculator, we can evaluate this expression:
EF ≈ 87.52 (rounded to two decimal places)
Therefore, the value of x (EF) rounded to the nearest hundredth is approximately 87.52.