CPhill

I guess you want to know the constant speed??

If so...

Distance / Time  = Speed  ...so...

240/4 = 300/5   = 60 mph

Nice work, Hayley......showing HOW you got the answer is more valuable than just GIVING the answer.....!!!!

[ I'm guilty of the second one, at times.....!!!!  ]

I think you might have made a slight error???

If the building is 75 ft tall......the adjacent side to the given angle - A - can be found thusly :

tan(18)   = 75/ A      re-arrange

A = 75/ tan(18)  = about 230.826 ft

The hypotenuse =

sqrt(230.826^2 + 75^2)  = 242.705 ft.   .....note.... this is NOT the building height!!!!......it's the distance from where the angle of elevation was measured to the top of the building

Note that we have similar triangles, such that :

BDA ≈ BAC   ....so....

BA/DA  = BC/AC

And BC  = sqrt(10^2 + 20^2)  = sqrt(500)  = 10sqrt(5)    .......so....

10/DA  = 10sqrt(5) /20

10/DA  = sqrt(5) / 2    cross-multiply

20 = sqrt(5) * DA

DA = 20/sqrt(5)  = 20sqrt(5)  / 5   = 4sqrt(5)  →  (C)

Here's the graph......https://www.desmos.com/calculator/qhaogqhteq

The vertex is (2, -5)........the y intercept = (0, -1)

24 / .08  =  x / 1.00    cross-multiply

24   = .08 * x       divide both sides by .08

24  / .08  = 

300

Very nice, Solveit.....!!!!

92 × 23 + (10 - 9) × 4

2116+ (1) * 4

2116 + 4 =

2120

Very nice, Solveit !!!.........and to the nearest tenth mm  would be about 59.7 mm

2/6 = 1/3   = .3333 repeating

5/6  = .8333     the 3's repeat

4/9 = .4444  repeating

2/3 =  .6666 repeating

[Each of these can be determined by taking the numerator and dividing by the denominator in a "long divsion" process ]