1. In a recent wind storm a large tree broke and made a 58° angle between the two parts of the trunk. Which length below

is closest to the total length of the tree before the storm?

58°

14 ft

*see attachement for diagram

40.4 ft

Step-by-step explanation:

Let the part that broke away be represented as "x"

Thus, the digram makes a right triangle shape.

The closest total length of tree before the storm = x + 14 ft

Apply trigonometric function to find x.

Reference angle = 58°

Side adjacent to reference angle = 14 ft

Hypotenuse = x

Apply CAH, which is:

Cos 58 = adj/hyp

Cos 58 = 14/x

x * Cos 58 = 14

x = 14/Cos 58

x = 26.4191188 ≈ 26.4 ft

✔️closest total length of tree before the storm = x + 14 ft = 26.4 + 14 = 40.4 ft

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)