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Contact [7]
3 years ago
8

The horizontal distance of the ramp is 12 ft. And the vertical height of the ramp is 5 ft. Round answers to the nearest whole nu

mber.
a) what is the length of the ramp?

b) Find measure of the angle incline.

Mathematics
2 answers:
Dafna11 [192]3 years ago
8 0

Answer:

a)   13 feet

b)   22.6º

Step-by-step explanation:

c² = 12² + 5²

c² =  144 + 25

c² =  169

Take the square root of both sides

c = 13 Feet

----------------------------

tan = opp/adj

∅ = arctan5/12

∅ = 22.619864948040426

∅ = 22.6º

Elan Coil [88]3 years ago
7 0

Answer:

The length of the ramp is 13 ft according to the Pythagorean theorem but I don't have an idea about the angle incline.. we must trigonometry to find it .

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{\huge{\fcolorbox{yellow}{red}{\orange{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{blue}{Answer}}}}}}}}}}}}}

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{\blue{\sf{a_n = a {r}^{n - 1} }}} \\ \sf{a_n = 20 \times  { \frac{2}{3} }^{n - 1} }

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<u>\orange {\sf{S_n = a \times  \frac{(1 -  {r}^{n} )}{1 - r} }} \\  \sf S_n = 20 \times  \frac{1 -  ( { \frac{2}{3} })^{n}  }{1 -  \frac{2}{3} }  \\   \sf S_n = 20 \times  \frac{1 -  {( \frac{2}{3}) }^{n} }{ \frac{1}{3} }  \\  \sf S_n = 3 \times 20 \times  \{1 - ( { \frac{2}{3}) }^{n}  \} \\   \purple{\sf S_n = 60 \{1 -  { \frac{2}{3} }^{n}  \}}</u>

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