Number 20 ASAP please thank you

Work Shown:

x = height of building minus the person's eye height

So whatever x is, we need to add on 5 feet (their eye height) to get the true height of the building.

The tangent ratio will be used to find x

tan(angle) = opposite/adjacent

tan(55) = x/350

350*tan(55) = x

x = 350*tan(55)

x = 499.85180235974

This result is approximate and you must make sure your calculator is in degree mode. Rounding to the nearest foot, we get x = 500. Add on 5 more feet to get x+5 = 500+5 = 505

The building is roughly 505 feet tall. This is about a 50 story building assuming each story is 10 feet tall.

18 a) 6.34ft

We draw a triangle scaled 1cm = 2ft and label 6.34ft 13.57ft x 15ft

b) 11.54 degree

Step-by-step explanation:

a) sin (25) = 0.4226182617  then use as multiplier.

0.4226182617 x 15 = 6.339273926

To find third measurement for use of diagram

we do pythagoras

c^2 - a^2 = b^2  (we are looking for base so b or a applies just stick to one of the c-b or c^2-a^2 = b^2 etc.

c^2 = 15 x 15 = 225

b^2 =   6.339273926 x 6.339273926 = 40.18639391

a^2 =  √225 -√40.189 = √184.811

a = 13.57133007

a= 13.57feet to help diagram length we scale 6.34ft x 13.57ft x 15ft slope.

18b) We divide the measurements run/rise always

4/20 = 0.2

Then input them for shift sin-1  (0.2) =11.53695903

Just realised you needed number 20. Hope 18 a+b helps.

With the answer for question 20 you can check the angle of elevation in reminder to my answers on your last page .

run/rise  we have 350/ slope   = (x 0.57) = shift sin-1 (0.57) = 35 degree we know we are correct as cos also finds this same inverse degree angle of elevation of 55 degree as both add up to 90 degree.

We find pythagoros with a^2 +b^2 = c^2

350sq + 505sq = √122500 + √255025 = √377525

c^2 = √377525 = 614.43 feet for diagrams slope

run/rise = 505/614.43  = 0.82189997233 = 0.82

shift cos-1 (0.82) = 34.91 = 35 degree

We know now that run/rise we should use to check is Sin-1 but cos -1 checks the 35deg+55deg+90 deg = 180 degree as well as checks the other or both inverse angles.

Therefore 505 feet is correct.

£56

step-by-step explanation:

thats not a system of equations, that is a solution