Answer: To work out 9 tan 26 rounded to 1 decimal place, we will use the tangent function.
Step 1: Recall that the tangent function calculates the ratio of the length of the opposite side to the length of the adjacent side in a right triangle. In this case, we have an angle of 26 degrees.
Step 2: Begin by converting the angle from degrees to radians. To convert degrees to radians, multiply the degree measure by π/180.
26 degrees * π/180 = 0.453 radians (rounded to 3 decimal places)
Step 3: Now, calculate the tangent of 0.453 radians using a calculator or table.
tan(0.453) ≈ 0.467 (rounded to 3 decimal places)
Step 4: Multiply the result by 9.
9 * 0.467 ≈ 4.203 (rounded to 3 decimal places)
Step 5: Finally, round the answer to 1 decimal place.
4.203 rounded to 1 decimal place is approximately 4.2.
Therefore, the value of 9 tan 26, rounded to 1 decimal place, is 4.2.