4. The leaning Tower of pisa was built to be 185 feet tall. An observer noticed

Question

4. The leaning Tower of pisa was built to be 185 feet tall. An observer noticed that from a point at ground level 120 feet away from the base of the tower, the angle of elevation to the top of the tower is 62 degree. What is the measure of the acute angle that the tower makes with the horizontal? 5. Two ship set sail from the same port with bearing N 43 degree E and N40 degree W, traveling at 18 mph and 15 mph respectively. Approximate to the nearest mile the distance between the ships after 2 hour. Find the measure of the largest angle.

Explanation / Answer

4. We can apply sine rule to the triangle given :

185/sin 62 = 120/sinx where x is the third angle in triangle

sinx = 120*sin62/185

=0.5727

x =sin^-1(0.5727) = 34.94 , 180-

Measure of the angle that tower makes with horizontal = 180 -62 -34.94 = 83.06 deg

6. measure of tha largest angle: From the figure we can see angle A looks to the obtuse angle >90

Lets find that by cosine rule:

a^2 = b^2 +c^2 -2bc cosA

a=8 ; b =6 ; c=4

8^2 = 4^2 +6^2 -2*6*4cosA

cos A = -12/48 = 104.47 deg (Largest Angle)

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