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A playground slide is 14.5 feet long, and the ladder to the top
of the slide reaches 12 feet high. What is the measure of the
angle that the slide makes with the ground? Answers are in
degrees.
PLEASE HELP ASAP

A Playground Slide Is 145 Feet Long And The Ladder To The Top Of The Slide Reaches 12 Feet High What Is The Measure Of The Angle That The Slide Makes With The G class=

Sagot :

Answer:

x = 56

Step-by-step explanation:

a^2 + b^2 = c^2

12^2 + b^2 = 14.5^2

-12^2

b^2 =66.25

sqrt(b) = sqrt(66.25)

b= 8.13941029...

b=8.1

b is the grass part, which will extend from the front end of the ladder to the end of the slide.

To solve an SAS triangle

use The Law of Cosines to calculate the unknown side,

use The Law of Cosines to calculate the unknown side,then use The Law of Sines to find the smaller of the other two angles,

use The Law of Cosines to calculate the unknown side,then use The Law of Sines to find the smaller of the other two angles,and then use the three angles add to 180° to find the last angle.

Angle ∠A = 55.852° if we round 56

Angle ∠B = 34.148° if we round 34

double check 56+34+90 = 180