A local park is adding a new 14 ft long slide to the playground. The vertical height of the slide is h. The distance from the bo
ttom of the stairs to the bottom of the slide needs to be 15 ft. Also, due to safety reasons, the slide must form a 30° angle with the ground, as shown below.
a. What is the height h of the slide? Round your answer to the nearest tenth.
b. To the nearest degree, what angle x will the stairs form with the ground?
a. What is the height h of the slide? Round your answer to the nearest tenth.
b. To the nearest degree, what angle x will the stairs form with the ground?
1 answer:
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Answer:
Step-by-step explanation:
4) parallel because 118° is a supplement to 62° and the corresponding angles are both 118°
5) NOT parallel. The labeled angles sum to 120° and would sum to 180° for parallel lines.
6) NOT parallel. see pic.
If parallel, extending a line to intersect ℓ₁ makes an opposite internal angle which would also be 48°. The created triangle would have its third angle at 180 - 90 - 48 = 42° which is opposite a labeled 48° angle, which is false, so the lines cannot be parallel
7)
b = 78° as it corresponds with a labeled angle above it
a = 180 - 78 = 102° as angles along a line from a common vertex sum to 180
f = is an opposite angle to 180 - 78 - 44 = 58° as angles along a line from a common vertex sum to 180
e = 180 - 90 - 64 = 26° as angles along a line from a common vertex sum to 180
c = 58° as it corresponds with f
d = 180 - 58 = 122° as angles along a line from a common vertex sum to 180
