Question

8. Calculate the measure of the indicated angle, to the nearest degree, in each triangle. a) In ?ABC, ?C = 90°, a = 11.3 cm, and b = 9.2 cm. Calculate ?A. b) In ?DEF, ?D = 90°, d = 8.7 cm, and f = 5.4 cm. Calculate ?F. 9. Janice is getting ready to climb a steep cliff. She needs to fasten herself to a rope that is anchored at the top of the cliff. To estimate how much rope she needs, she stands 50 m from the base of the cliff and estimates that the angle of elevation to the top is 70°. How high is the cliff? 10. Solve for i and j. 8 cm 60°

          8. Calculate the measure of the indicated angle, to the nearest degree,
in each triangle.
a) In ?ABC, ?C = 90°, a = 11.3 cm, and b = 9.2 cm. Calculate ?A.
b) In ?DEF, ?D = 90°, d = 8.7 cm, and f = 5.4 cm. Calculate ?F.
9. Janice is getting ready to climb a steep cliff. She needs to fasten herself to
a rope that is anchored at the top of the cliff. To estimate how much rope
she needs, she stands 50 m from the base of the cliff and estimates that
the angle of elevation to the top is 70°. How high is the cliff?
10. Solve for i and j.
8 cm
60°

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8. Calculate the measure of the indicated angle, to the nearest degree,
in each triangle.
a) In ?ABC, ?C = 90°, a = 11.3 cm, and b = 9.2 cm. Calculate ?A.
b) In ?DEF, ?D = 90°, d = 8.7 cm, and f = 5.4 cm. Calculate ?F.
9. Janice is getting ready to climb a steep cliff. She needs to fasten herself to
a rope that is anchored at the top of the cliff. To estimate how much rope
she needs, she stands 50 m from the base of the cliff and estimates that
the angle of elevation to the top is 70°. How high is the cliff?
10. Solve for i and j.
8 cm
60°

Added by Brittany C.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert James Kiss

07/21/2022

Step 1

Since triangle ABC is a right triangle with ∠C = 90°, we can use the trigonometric ratios to find ∠A. We have the opposite side (b = 9.2 cm) and the adjacent side (a = 11.3 cm) to ∠A. We can use the tangent function, which is the ratio of the opposite side to the Show more…

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Calculate the measure of the indicated angle, to the nearest degree, in each triangle. In ┳ABC, ∠C = 90°, a = 11.3 cm, and b = 9.2 cm. Calculate ∠A. In ┳DEF, ∠D = 90°, d = 8.7 cm, and f = 5.4 cm. Calculate ∠F. Janice is getting ready to climb a steep cliff. She needs to fasten herself to a rope that is anchored at the top of the cliff. To estimate how much rope she needs, she stands 50 m from the base of the cliff and estimates that the angle of elevation to the top is 70°. How high is the cliff? Solve for i and j.

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