Question

Using the provided measures determine the length of the segment AC.

7.1cm

10.9cm

12.4cm

13.1cm

Answer 1

Using the provided measures determine the length of the segment AC.

7.1cm

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*100% CORRECT ANSWERS

Question 1

The furthest angle of elevation to the top of the steeple was 20 degrees and the closest angle elevation to the church was 29 degrees. Each person is 1.7 meters tall from his feet to his eyeballs. In order to find the height of the church, what do we need to find first.

Measure of Angle ABC

Question 2

The furthest angle of elevation to the top of the steeple was 20 degrees and the closest angle elevation to the church was 29 degrees. Each person is 1.7 meters tall from his feet to his eyeballs. Find the measure of angle ACB. (Hint: Find measure of angle ABC first).

9 degrees

Question 3

Using the provided measures determine the measure of angle ACB.

72 degrees

Question 4

Using the provided measures determine the length of the segment AC.

7.1cm

Question 5

Using the provided measures determine the length of the segment AB.

10.9cm

Answer 2

The first option is correct 7.1 cm

Therefore the length segment AC is 7.1 cm.

Explanation:

Given:

In Right Angle Triangle DAC

∠A = 90°

∠D = 62°

CD = 8 cm = Hypotenuse

To Find:

AC = side opposite to angle D = ?

Solution:

In Right Angle Triangle DAC , using Sine Identity we have

`\sin D = \frac{\textrm{side opposite to angle D}}{Hypotenuse}\\`

Substituting the values we get

`\sin 62 = (AC)/(CD)\\\\0.8829=(AC)/(8)\\\\\therefore AC =7.063\approx7.1\ cm`

Therefore the length segment AC is 7.1 cm.