Using the same triangle as above, provide a value for the measure of angle A. Use this value, along with the values you have provided in question 3, to calculate the length of side c and the measure of angle B. The value of A should be between 20 and 70 and cannot be the same as angle C.

Step-by-step explanation:

Since the triangle is a right triangle, we know angle B is 90

Then, we know A and C have to make 90 to

so if A has to be between 20 and 70, we can pick 21

as long as A and C make 90, if A is 21, then C is 69

since 21 + 69 = 90

Since it's a right triangle, we can use pythagoran theorem to find c

a² + b² = c²

c =

then you put in the numbers from question 3 (you didn't say what numbers those have to be) and you can find out whats c

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet