A tightrope walker attaches a cable to the roofs of two adjacent buildings. The cable is 21.5 m long. The angle of inclination of the cable is 12 degrees. The buildings are 21.0 m apart. The shorter building is 10.0 m high. What is the height of the taller building?

the height of the taller building is 14.47 m

Step-by-step explanation:

Given the data in the question as illustrated in the image below.

form the image; ( Triangle BDE )

we know that sin∅ i= opposite/hypotenuse

so; sin12° = BE / 21.5

BE = 21.5sin12°

BE = 4.47 m

since, EA = DC = 10 m

BA = BE + EA

BA = 4.47 m + 10 m

BA = 14.47 m

Therefore, the height of the taller building is 14.47 m

77

step-by-step explanation:

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500