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r-ruslan [8.4K]
3 years ago
5

A wheelchair ramp is to be built beside the steps to the campus library. Find the angle of elevation of the 20​-foot ​ramp, to t

he nearest tenth of a​ degree, if its final height is 5 feet.
Mathematics
1 answer:
Helga [31]3 years ago
8 0

Answer:

14.5°

Step-by-step explanation:

length of ramp, l = 20 foot

height of ramp, h = 5 foot

Let θ is the angle of inclination

Sin θ = h/l

Sin θ = 5 / 20

Sin θ = 0.25

θ = 14.5°

Thus, the inclination of ramp is 14.5°.

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HD = 10.5

Step-by-step explanation:

Given BH = 3, GH = 2, BF = 10

Step 1: To find HF:

HF = BF – BH

HF = 10 – 3

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Step 2: To find HD:

We know that if two chords intersects inside a circle, the product of the lengths of the segments of one chord equals the product of the lengths of the segments of the other chord.

⇒ GH × HD = BH × HF

⇒ 2 × HD = 3 × 7

⇒ HD = 10.5

Hence, the value of HD = 10.5.

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