Jason wants to build a ramp for a wheelchair at an angle of 10° with the ground. If the ramp has a horizontal length of 20 m, what is the maximum height of the ramp?

Step-by-step explanation:

Given data

θ= 10°

Horizontal length is equivalent to the adjacent= 20 m

the height of the ramp is equivalent to the opposite=?

Applying SOH CAH TOA we have

using TOA

Tan θ= opp/adj

Tan 10= opp/20

opp= Tan(10)* 20

opp= 0.64836*20

opp= 12.96

Approximately the maximum height of the ramp is 12 m

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

c

step-by-step explanation: