question 3 (2 points)
an airplane climbs at an angle of 18 degrees with the ground. find the ground distance the plane travels as it moves 2500 m through the air. give your answer to the nearest 100 meters.

meters
blank 1:

question 4 (2 points)
a guy wire reaches from the top of a 120 m television transmitter tower to ground. the wire makes a 63 degree angle with the ground. find the length of the guy wire to the nearest meter.

Question

question 3 (2 points)
an airplane climbs at an angle of 18 degrees with the ground. find the ground distance the plane travels as it moves 2500 m through the air. give your answer to the nearest 100 meters.

meters
blank 1:

question 4 (2 points)
a guy wire reaches from the top of a 120 m television transmitter tower to ground. the wire makes a 63 degree angle with the ground. find the length of the guy wire to the nearest meter.

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Trigonometric Ratios" ], "new_concepts": [], "current_concepts": [ "Trigonometric Ratios", "Right Triangle Trigonometry" ] } ## Question 3: Set up the trigonometric equation $$ \begin{aligned} &\cos(18^\circ) = \frac{x}{2500} \end{aligned} $$ ## Question 3: Solve for x and round to the nearest 100 meters $$ \begin{aligned} &x = 2500 \cdot \cos(18^\circ) \ &x \approx 2500 \cdot 0.9510565 \approx 2377.64 \text{ m} \ &x \approx 2400 \text{ m} \end{aligned} $$ ## Question 4: Set up the trigonometric equation and solve for x $$ \begin{aligned} &\sin(63^\circ) = \frac{120}{x} \ &x = \frac{120}{\sin(63^\circ)} \ &x \approx \frac{120}{0.8910065} \approx 134.68 \text{ m} \ &x \approx 135 \text{ m} \end{aligned} $$ ## Question 3 An airplane climbs at an angle of 18 degrees with the ground. Find the ground distance the plane travels as it moves 2500 m through the air. Give your answer to the nearest 100 meters. 2400 meters ## Question 4 A guy wire reaches from the top of a 120 m television transmitter tower to ground. The wire makes a 63 degree angle with the ground. Find the length of the guy wire to the nearest meter. 135 meters { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Trigonometric Ratios" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Question 3: Set up the trigonometric equation

Question 3: Solve for x and round to the nearest 100 meters

Question 4: Set up the trigonometric equation and solve for x

Answer:

Question 3

Question 4