Max is installing a 12-ft swimming pool slide at a 50° angle of elevation. the bottom of the slide will be 1 foot off the ground and the top of the slide will be fixed to a platform. find the height of the platform. (round to nearest tenth) a) 9.2 ft b) 10.0 ft c) 10.1 ft d) 10.2 ft

D) 10.2 ft

The mnemonic SOH CAH TOA reminds you that

... Sin = Opposite/Hypotenuse

You want to find the length of the side Opposite the 50° angle, given the Hypotenuse is 12 ft. Then the relation is ...

... sin(50°) = height/(12 ft)

Multiplying by 12 ft gives

... height = (12 ft)·sin(50°) ≈ 9.2 ft

The height of the platform is 1 ft up from this value:

... 9.2 ft + 1 ft = 10.2 ft

number one is the correct answer

step-by-step explanation: dogs and cats are mentioned, no other animals

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°