In ΔDEF, the measure of ∠F=90°, DE = 8.8 feet, and EF = 6.4 feet. Find the measure of ∠D to the nearest tenth of a degree.

46.7 degrees.

Step-by-step explanation:

According to the given information, triangle DEF is a right triangle with angle F as the right angle. We are trying to find the measure of angle D.

We are given the opposite side length (6.4 feet) and the hypotenuse (8.8 feet), so we can use sine to calculate the angle measure (SOH = Sine; Opposite over Hypotenuse).

sin(D) = 6.4 / 8.8

sin(D) = 64 / 88

sin(D) = 8 / 11

D = arcsin(8 / 11)

D = arcsin(0.72727272727272727272727273)

D = 46.65824177.

So, the measure of angle D is about 46.7 degrees.

Hope this helps!

y=3n + 1

step-by-step explanation:

this is wrong because it says the second number is one less and i added one instead

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.